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Class 6 Maths Ganita Prakash Chapter 9 MCQ?
Chapter 9 of Class 6 Maths, Symmetry, in Ganita Prakash introduces line symmetry, mirror images, and real-world symmetrical patterns. MCQs assess skills in recognizing symmetry, completing figures, and identifying symmetry in nature and art. This chapter strengthens geometric reasoning, creativity,Read more
Chapter 9 of Class 6 Maths, Symmetry, in Ganita Prakash introduces line symmetry, mirror images, and real-world symmetrical patterns. MCQs assess skills in recognizing symmetry, completing figures, and identifying symmetry in nature and art. This chapter strengthens geometric reasoning, creativity, and pattern recognition, making symmetry essential in fields like design, architecture, and biology while fostering an appreciation for balance in everyday life.
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In ΔABC, if ∠B = 90°, AB = 6 cm, and BC = 8 cm, then sin A equals:
In ΔABC, given that ∠B = 90°, AB = 6 cm, and BC = 8 cm, we can determine sin A using the definition of sine in a right triangle. First, calculate the hypotenuse AC using the Pythagorean theorem: AC² = AB² + BC² AC² = 6² + 8² AC² = 36 + 64 AC² = 100 AC = √100 = 10 cm Now, recall that sin A is definedRead more
In ΔABC, given that ∠B = 90°, AB = 6 cm, and BC = 8 cm, we can determine sin A using the definition of sine in a right triangle.
First, calculate the hypotenuse AC using the Pythagorean theorem:
AC² = AB² + BC²
AC² = 6² + 8²
AC² = 36 + 64
AC² = 100
AC = √100 = 10 cm
Now, recall that sin A is defined as the ratio of the length of the side opposite to ∠A (BC) to the hypotenuse (AC):
sin A = (opposite side) / (hypotenuse)
sin A = BC / AC
sin A = 8 / 10
Thus, the correct answer is 8/10.
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Two triangles are similar if:
Similarity of triangles is based on the principle that when two triangles have the same shape but not necessarily the same size, they are considered similar. This occurs if and only if their corresponding angles are equal. When the angles are equal, the ratios of the lengths of their corresponding sRead more
Similarity of triangles is based on the principle that when two triangles have the same shape but not necessarily the same size, they are considered similar. This occurs if and only if their corresponding angles are equal. When the angles are equal, the ratios of the lengths of their corresponding sides are also equal (this is known as the Angle-Angle or AA criterion for similarity).
The other options are incorrect because:
– “Their corresponding sides are equal” describes congruence, not similarity.
– “Their perimeters are equal” does not guarantee similarity, as triangles with the same perimeter can have different shapes.
– “Their areas are equal” also does not ensure similarity, as triangles with the same area can have different shapes and dimensions.
Thus, the correct answer is “Their corresponding angles are equal.”
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The number of zeroes of the polynomial x³ + x – 3 – 3x² is
The number of zeroes ( or roots) of a polynomial is determined by its degree. The degree of a polynomial is the highest exponent of the variable. Given Polynomial: x³ + x - 3 - 3x² Step 1: Arrange in Standard Form Rearrange the terms in descending order of powers of x: x³ - 3x² + x - 3 Step 2: IdentRead more
The number of zeroes ( or roots) of a polynomial is determined by its degree. The degree of a polynomial is the highest exponent of the variable.
Given Polynomial: x³ + x – 3 – 3x²
Step 1: Arrange in Standard Form
Rearrange the terms in descending order of powers of x:
x³ – 3x² + x – 3
Step 2: Identify the Degree
The highest power of x is 3.
A polynomial of degree n can have at most n zeroes.
Conclusion: Since the given polynomial is of degree 3, it has three zeroes ( real or complex). Thus the correct answer is (d) 3.
This question related to Chapter 2 Mathematics Class 9th NCERT. From the Chapter 2 Polynomials. Give answer according to your understanding.
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Which of the following is a term of a polynomial?
Correct option (a) 2x A polynomial consists of terms where the variable has only non-negative integer exponents. Analyzing Each Option: (a). 2x - The exponent of x is 1, which is a non-negative integer. This is a valid term of a polynomial. (b). 3/x - This can be rewritten as 3x ⁻¹. Since the exponeRead more
Correct option (a) 2x
A polynomial consists of terms where the variable has only non-negative integer exponents.
Analyzing Each Option:
(a). 2x – The exponent of x is 1, which is a non-negative integer. This is a valid term of a polynomial.
(b). 3/x – This can be rewritten as 3x ⁻¹. Since the exponent is negative, this is not a polynomial term.
(c). x√x – We rewrite √x as x¹/², so:
x√x = x.x¹/² = x ³/² Since the exponent 3/2 is not an integer, this is not a polynomial terms.
(d). √x – since √x = x ¹/², and the exponent 1/2 is not a integer, this is not a polynomial term.
Final Answer: The correct answer is (a) 2x.
This question related to Chapter 2 Mathematics Class 9th NCERT. From the Chapter 2 Polynomials. Give answer according to your understanding.
For more please visit here:
See lesshttps://www.tiwariacademy.in/ncert-solutions/class-9/maths/