Diagonals of parallelogram ABCD bisect at O, so OA = OC and OB = OD. Since DP = BQ, subtracting gives OP = OQ. With diagonals AC and PQ bisecting each other, APCQ is a parallelogram. Class 9 Ganita Manjari Part ...
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In triangles EAD and EBC, vertical angles at E are equal, so the four vertex angles sum to 360° – 2∠AED < 360°. Yes, make angle E nearly 179° so the remaining sum equals 2°. Cbse released Class 9 Ganita Manjari ...
The segment spans four vertical intervals between five ruled lines. The midpoint is where the segment intersects the middle horizontal line, justified by the Converse of the Midpoint Theorem and equal parallel intercepts. Cbse Class 9 Maths Ganita Manjari Part 2 ...
Joining two congruent copies of any triangle along a shared edge forms a parallelogram. Since identical parallelograms tile the plane continuously, splitting each parallelogram into its two constituent triangles tiles the entire plane. Class 9 Ganita Manjari Part 2 chapter 12 ...
Identify primes appearing in both factorisation lists. For each shared prime base, select the smaller of its two exponents, multiply these lowest powers together and report that final product as the GCD. Class 9 Ganita Manjari Part 2 chapter 11 question ...