(i) The median through A meet BC at D. So, D is the mid-point of BC. Therefore Coordinates of D = ((6+1)/2, (5+4)/2) = (7/2, 9/2) (ii) Point P lies on AD, such that AP:PD = 2:1. Therefore (1.4) Coordinates of P = ((2×7/2+1×4)/(2+1), (2×9/2+1×2)/(2+1)) (iii) The median through B meets AC at E. So, ERead more
(i) The median through A meet BC at D. So, D is the mid-point of BC. Therefore Coordinates of D = ((6+1)/2, (5+4)/2) = (7/2, 9/2)
(ii) Point P lies on AD, such that AP:PD = 2:1. Therefore (1.4) Coordinates of P = ((2×7/2+1×4)/(2+1), (2×9/2+1×2)/(2+1))
(iii) The median through B meets AC at E. So, E is the mid-point of AC. Therefore, Coordinates of E = ((4+1)/2, (2+4)/2) = (5/2, 3)
(iv) Point Q lies on AE, such that AQ:QE = 2:1.Therefore Coordinates of Q = ((2×5/2+1×6)/(2+1), (2×3+1×5)/(2+1)) = (11/3, 11/3)
The median through C mects AB at F. So, F is the mid-point of AB. Therefore Coordinates of F = ((4+6)/2, (2+5)/2) = (5, 7/2)
Point R lies on CF, such that CR:RF = 2:1.
(v) Therefore, the coordinates of R = ((2×5+1×1)/(2+1), (2×7/2+1×4)/(2+1)) = (11/3, 11/3)
(vi) The coordinates of P, Q and R is same.
(vii)Points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃) are the vertices of triangle ABC. Median through A meets BC at D. So, D is the mid-point of BC. Therefore, The coordinates of D = ((x₂+x₃)/2, (y₂+y₃)/2)
Let O be the centroid of the triangle. Point O lies on AD such that A0:0D = 2:1.
Therefore, the coordinates of point O
((2×(x₂+x₃)/2 +1×x₁)/(2+1), (2×(y₂+y₃)/2 +1×y₁)/(2+1)) = ((x₁+x₂+x₃)/2, (y₁+y₂+y₃)/2)
Here you can see the video explanation of this question ✋
The mid-point of AB is P. Therefore, The coordinates of P = ((-1, 1)/2, (-1+4)/2) = (-1, 3/2) Similarly, the coordinates of points Q, R and S are (2, 4). (5, 3/2) and (2, -1) respectively. Length of PQ = √((-1-2)²+(3/2 -4)²) = √(9+25/4) = √(61/4) Length of QR = √((2-5)²+(4-3/2)²) = √(9+25/4) = √(61/Read more
The mid-point of AB is P. Therefore,
The coordinates of P = ((-1, 1)/2, (-1+4)/2) = (-1, 3/2)
Similarly, the coordinates of points Q, R and S are (2, 4). (5, 3/2) and (2, -1) respectively.
Length of PQ = √((-1-2)²+(3/2 -4)²) = √(9+25/4) = √(61/4)
Length of QR = √((2-5)²+(4-3/2)²) = √(9+25/4) = √(61/4)
Length of PS = √((5-2)²+(3/2+1)²) = √(9+25/4) = √(61/4)
Length of SP = √((2+1)²+(-1-3/2)²) = √(9+25/4) = √(61/4)
Length of PR = √((-1-5)²+(3/2-3/2)²) = √(36+0) = 6
Length of SQ = √((2-2)²+(4+1)²) = √(0+25) = 5
All the sides of quadrilateral PQRS are equal (PQ = QR = RS = ST) but diagonals are not equal (PR ≠ SQ). So, PQRS is a rhombus.
In △AABC, by Pythagoras theorem, we have AC² = AB²+BC² = (24 cm)²+(7 cm)² = (576 + 49)cm² = 625 cm² ⇒ AC = √625 = 25 cm (i) sin A = BC/AC = 7/25 and cos A = AB/AC = 24/25 (ii) sin C = AB/AC = 24/25 and cos C = BC/AC = 7/25 See here for video explanation of this above question 😁✌
In △AABC, by Pythagoras theorem, we have
AC² = AB²+BC²
= (24 cm)²+(7 cm)²
= (576 + 49)cm²
= 625 cm²
⇒ AC = √625 = 25 cm
(i) sin A = BC/AC = 7/25 and cos A = AB/AC = 24/25
(ii) sin C = AB/AC = 24/25 and cos C = BC/AC = 7/25
See here for video explanation of this above question 😁✌
संज्ञा के बारे में हम पहली कक्षा से ही पढ़ना प्रारंभ कर देते हैं। कक्षा 4 के हिंदी व्याकरण में विद्यार्थी संज्ञा के कुछ और उदाहरणों के साथ अपने ज्ञान को मजबूत करेंगे। कक्षा 4 हिंदी व्याकरण में विभिन्न शब्दों के स्त्रीलिंग और पुल्लिंग शब्दों को भी याद करेंगे। व्याकरण भाषा सीखने का एक महत्वपूर्ण पहलू हRead more
संज्ञा के बारे में हम पहली कक्षा से ही पढ़ना प्रारंभ कर देते हैं। कक्षा 4 के हिंदी व्याकरण में विद्यार्थी संज्ञा के कुछ और उदाहरणों के साथ अपने ज्ञान को मजबूत करेंगे। कक्षा 4 हिंदी व्याकरण में विभिन्न शब्दों के स्त्रीलिंग और पुल्लिंग शब्दों को भी याद करेंगे।
व्याकरण भाषा सीखने का एक महत्वपूर्ण पहलू है, और चौथी कक्षा के छात्रों के लिए व्याकरण में एक मजबूत नींव विकसित करना शुरू करना विशेष रूप से महत्वपूर्ण है। व्याकरण सीखने से छात्रों को भाषा की संरचना और तर्क को समझने में मदद मिलती है, जिससे उनके पढ़ने और लिखने के कौशल में सुधार हो सकता है।
अधिक जानकारी के लिए यहाँ जाएँ => https://hindi.tiwariacademy.com/ncert-solutions/class-4/hindi/grammar/
Food adulterants are substances that are added to food to increase profits or to deceive consumers. These can cause harmful and negative health effects, such as serious health problems, cancer, weight gain, digestive problems, asthma and breathing difficulties. To protect your health, it is importanRead more
Food adulterants are substances that are added to food to increase profits or to deceive consumers. These can cause harmful and negative health effects, such as serious health problems, cancer, weight gain, digestive problems, asthma and breathing difficulties. To protect your health, it is important to choose foods that do not contain these harmful substances.
A bicycle tire feels tight and rigid because it is filled with air. When air is pumped into the tire, it expands and becomes pressurized, causing the tire to feel firm and rigid. The amount of pressure in the tire can be adjusted to achieve the desired level of firmness and support.
A bicycle tire feels tight and rigid because it is filled with air. When air is pumped into the tire, it expands and becomes pressurized, causing the tire to feel firm and rigid. The amount of pressure in the tire can be adjusted to achieve the desired level of firmness and support.
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Technological progress is not a determinant of market supply as it makes production more efficient and cost-effective. Market supply is the quantity of aRead more
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Technological progress is not a determinant of market supply as it makes production more efficient and cost-effective.
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Some common determinants of market supply include the price of inputs, such as raw materials or labor, changes in excise duty or taxes, and changes in the production process or technology. Short questions on market supply can test students’ understanding of how market supply works. By reviewing concepts and practicing with sample questions, students can become more comfortable and proficient with answering market supply questions.
Let A(4, 2), B(6, 5) and C(1, 4) be the vertices of triangle ABC.
(i) The median through A meet BC at D. So, D is the mid-point of BC. Therefore Coordinates of D = ((6+1)/2, (5+4)/2) = (7/2, 9/2) (ii) Point P lies on AD, such that AP:PD = 2:1. Therefore (1.4) Coordinates of P = ((2×7/2+1×4)/(2+1), (2×9/2+1×2)/(2+1)) (iii) The median through B meets AC at E. So, ERead more
(i) The median through A meet BC at D. So, D is the mid-point of BC. Therefore Coordinates of D = ((6+1)/2, (5+4)/2) = (7/2, 9/2)
(ii) Point P lies on AD, such that AP:PD = 2:1. Therefore (1.4) Coordinates of P = ((2×7/2+1×4)/(2+1), (2×9/2+1×2)/(2+1))
(iii) The median through B meets AC at E. So, E is the mid-point of AC. Therefore, Coordinates of E = ((4+1)/2, (2+4)/2) = (5/2, 3)
(iv) Point Q lies on AE, such that AQ:QE = 2:1.Therefore Coordinates of Q = ((2×5/2+1×6)/(2+1), (2×3+1×5)/(2+1)) = (11/3, 11/3)
The median through C mects AB at F. So, F is the mid-point of AB. Therefore Coordinates of F = ((4+6)/2, (2+5)/2) = (5, 7/2)
Point R lies on CF, such that CR:RF = 2:1.
(v) Therefore, the coordinates of R = ((2×5+1×1)/(2+1), (2×7/2+1×4)/(2+1)) = (11/3, 11/3)
(vi) The coordinates of P, Q and R is same.
(vii)Points A(x₁, y₁), B(x₂, y₂) and C(x₃, y₃) are the vertices of triangle ABC. Median through A meets BC at D. So, D is the mid-point of BC. Therefore, The coordinates of D = ((x₂+x₃)/2, (y₂+y₃)/2)
Let O be the centroid of the triangle. Point O lies on AD such that A0:0D = 2:1.
Therefore, the coordinates of point O
((2×(x₂+x₃)/2 +1×x₁)/(2+1), (2×(y₂+y₃)/2 +1×y₁)/(2+1)) = ((x₁+x₂+x₃)/2, (y₁+y₂+y₃)/2)
Here you can see the video explanation of this question ✋
See lessABCD is a rectangle formed by the points A(–1, –1), B(– 1, 4), C(5, 4) and D(5, – 1). P, Q, R and S are the mid-points of AB, BC, CD and DA respectively. Is the quadrilateral PQRS a square? a rectangle? or a rhombus? Justify your answer.
The mid-point of AB is P. Therefore, The coordinates of P = ((-1, 1)/2, (-1+4)/2) = (-1, 3/2) Similarly, the coordinates of points Q, R and S are (2, 4). (5, 3/2) and (2, -1) respectively. Length of PQ = √((-1-2)²+(3/2 -4)²) = √(9+25/4) = √(61/4) Length of QR = √((2-5)²+(4-3/2)²) = √(9+25/4) = √(61/Read more
The mid-point of AB is P. Therefore,
The coordinates of P = ((-1, 1)/2, (-1+4)/2) = (-1, 3/2)
Similarly, the coordinates of points Q, R and S are (2, 4). (5, 3/2) and (2, -1) respectively.
Length of PQ = √((-1-2)²+(3/2 -4)²) = √(9+25/4) = √(61/4)
Length of QR = √((2-5)²+(4-3/2)²) = √(9+25/4) = √(61/4)
Length of PS = √((5-2)²+(3/2+1)²) = √(9+25/4) = √(61/4)
Length of SP = √((2+1)²+(-1-3/2)²) = √(9+25/4) = √(61/4)
Length of PR = √((-1-5)²+(3/2-3/2)²) = √(36+0) = 6
Length of SQ = √((2-2)²+(4+1)²) = √(0+25) = 5
All the sides of quadrilateral PQRS are equal (PQ = QR = RS = ST) but diagonals are not equal (PR ≠ SQ). So, PQRS is a rhombus.
For Bette explanation see here👇😃
See lessIn ∆ ABC, right-angled at B, AB = 24 cm, BC = 7 cm. Determine:
In △AABC, by Pythagoras theorem, we have AC² = AB²+BC² = (24 cm)²+(7 cm)² = (576 + 49)cm² = 625 cm² ⇒ AC = √625 = 25 cm (i) sin A = BC/AC = 7/25 and cos A = AB/AC = 24/25 (ii) sin C = AB/AC = 24/25 and cos C = BC/AC = 7/25 See here for video explanation of this above question 😁✌
In △AABC, by Pythagoras theorem, we have
AC² = AB²+BC²
= (24 cm)²+(7 cm)²
= (576 + 49)cm²
= 625 cm²
⇒ AC = √625 = 25 cm
(i) sin A = BC/AC = 7/25 and cos A = AB/AC = 24/25
(ii) sin C = AB/AC = 24/25 and cos C = BC/AC = 7/25
See here for video explanation of this above question 😁✌
See lessHow to download Class 8 Science Extra questions Chapter 16?
Where can I get the video solutions of Class 8 Science Chapter 16?
Where can I get the video solutions of Class 8 Science Chapter 16?
See lessकक्षा 4 हिंदी व्याकरण में मुख्य विषय क्या हैं?
संज्ञा के बारे में हम पहली कक्षा से ही पढ़ना प्रारंभ कर देते हैं। कक्षा 4 के हिंदी व्याकरण में विद्यार्थी संज्ञा के कुछ और उदाहरणों के साथ अपने ज्ञान को मजबूत करेंगे। कक्षा 4 हिंदी व्याकरण में विभिन्न शब्दों के स्त्रीलिंग और पुल्लिंग शब्दों को भी याद करेंगे। व्याकरण भाषा सीखने का एक महत्वपूर्ण पहलू हRead more
संज्ञा के बारे में हम पहली कक्षा से ही पढ़ना प्रारंभ कर देते हैं। कक्षा 4 के हिंदी व्याकरण में विद्यार्थी संज्ञा के कुछ और उदाहरणों के साथ अपने ज्ञान को मजबूत करेंगे। कक्षा 4 हिंदी व्याकरण में विभिन्न शब्दों के स्त्रीलिंग और पुल्लिंग शब्दों को भी याद करेंगे।
See lessव्याकरण भाषा सीखने का एक महत्वपूर्ण पहलू है, और चौथी कक्षा के छात्रों के लिए व्याकरण में एक मजबूत नींव विकसित करना शुरू करना विशेष रूप से महत्वपूर्ण है। व्याकरण सीखने से छात्रों को भाषा की संरचना और तर्क को समझने में मदद मिलती है, जिससे उनके पढ़ने और लिखने के कौशल में सुधार हो सकता है।
अधिक जानकारी के लिए यहाँ जाएँ => https://hindi.tiwariacademy.com/ncert-solutions/class-4/hindi/grammar/
What are the harmful effects of food adulterants?
Food adulterants are substances that are added to food to increase profits or to deceive consumers. These can cause harmful and negative health effects, such as serious health problems, cancer, weight gain, digestive problems, asthma and breathing difficulties. To protect your health, it is importanRead more
Food adulterants are substances that are added to food to increase profits or to deceive consumers. These can cause harmful and negative health effects, such as serious health problems, cancer, weight gain, digestive problems, asthma and breathing difficulties. To protect your health, it is important to choose foods that do not contain these harmful substances.
Here is a link for more information and Class 9 Science NCERT Solutions =>
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/science/
Why we feel bicycle tyre tight and hard?
A bicycle tire feels tight and rigid because it is filled with air. When air is pumped into the tire, it expands and becomes pressurized, causing the tire to feel firm and rigid. The amount of pressure in the tire can be adjusted to achieve the desired level of firmness and support.
A bicycle tire feels tight and rigid because it is filled with air. When air is pumped into the tire, it expands and becomes pressurized, causing the tire to feel firm and rigid. The amount of pressure in the tire can be adjusted to achieve the desired level of firmness and support.
See lessWhich one of the following is not a determinant of market supply
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Technological progress is not a determinant of market supply as it makes production more efficient and cost-effective. Market supply is the quantity of aRead more
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Technological progress is not a determinant of market supply as it makes production more efficient and cost-effective.
Market supply is the quantity of a good or service that producers are willing and able to offer for sale at a given price in a given time period. Some common determinants of market supply include the price of inputs, such as raw materials or labor, changes in excise duty or taxes, and changes in the production process or technology. Short questions on market supply can test students’ understanding of how market supply works. By reviewing concepts and practicing with sample questions, students can become more comfortable and proficient with answering market supply questions.
For Class 9 Chapter 3 Solutions =>
See lesshttps://www.tiwariacademy.com/ncert-solutions/class-9/maths/chapter-3/