Substituting (2, -1) into 2mx + 3y = 7 yields 4m – 3 = 7, which gives m = 2.5. Substituting into 4x + ny = -10 gives 8 – n = -10, resulting in n = 18. Ganita Manjari part ...
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(i) By the Midpoint Theorem, PQ = BC/2 = BR = RC, QR = AB/2 = AP = PB and PR = AC/2 = AQ = QC, so △PQR ≅ △QPA ≅ △RPB ≅ △CQR by SSS. (ii) Yes, construct ...
Adjacent angles of a parallelogram sum to 180°, so their bisectors add to 90°, forcing right angles at intersections to form a rectangle. If AB = BC, all bisectors intersect at a single point. Cbse Class 9 Maths Ganita Manjari Part ...
(i) Yes. (ii) Yes. (iii) No; an isosceles trapezium also has equal diagonals. Extra condition: the quadrilateral must be a parallelogram or its diagonals must also bisect each other. Ganita Manjari Part 2 chapter 12 question answer Quadrilaterals Solutions – Ganita ...
Since AB ∥ CD and AD ∥ BC, alternate angles are equal. Because AC bisects ∠A, adjacent angles match, proving AC bisects ∠C. In △ABC, equal base angles imply AB = BC, making all sides equal. Cbse released Class 9 Ganita ...