Mathematics 2008 Question Papers

Ans. 200 m/s or 720 km/hr

See Q. 27, 2002 (III Delhi).

Q. 28. Prove that in a right triangle, the square on the hypotenuse is equal to the sum of the squares on the other two sides.Making use of the above, prove the following :In a rhombus ABCD, prove that
4 AB2 = AC2 + BD2.

Sol. Part I. See Theorem 3, Page (xxxi).
Part II.

Given. In rhombus ABCD, diagonals AC and BD intersect at O

Or

Prove that the lengths of tangents drawn from an external point to acircle are equal. Making use of the above, prove the following.

From an external point P, two tangents PA and PB are drawn to a circle with centre O as shown in Figure 5. Show that OP is the perpendicular bisector of AB.

Mathematics 2008 Question Papers Class X
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