Q. In the figure alongside, PQRS is a parallelogram. X and Y are any points on QR and RS respectively such that XY||QS. Prove that, Area of triangle PQX = Area of triangle PSY

Soln: i.                      D PQR = D PSR                                                    i. PR divides ||gm area into equal...

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Q. How much is more the value including 30% VAT on Rs. 2700 than Rs. 3060.

Soln: Value on Rs.2700 with 30% VAT = 2700 + 30% of 2700 = 2700 + 0.3*2700 = 2700 + 810 = 3510 More value = 3510 – 3060 ...

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Q. In the given figure, ABCD is a parallelogram and bisector of angle A bisects the side BC at P. Prove that AD = 2AB.

Soln: i. <DAP = <PAB      i. AP bisects <A ii. <DAP = <APB    ii. Being alternate angles iii. <PAB = <APB   iii...

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Q. In the adjoining figure, it is given that PQ=PR, MR=QN and ML||PN. Prove that MN and QL bisect each other.

Soln: <PQL = <MLR                                   Being corresponding angles. ML = MR                              ...

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Q. In given XYZ, XE is the bisector of angle YXZ. If YO perpendicular to XE and OM||XZ, prove that YM = MZ.

Soln: Constrution: Join O and A 1. In  r s XYO and XAO i. <YXO = <AXO (A)                       i. XE is bisector of ...

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Q. Find unknown sizes of the angles.

Soln:  < PQR = < QRS [∵ PQ || RS, being alternate angles]  or, y = 2x From r PQR, < PQO + < OPQ = ...

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