CBSE Guess > Papers > Important Questions > Class X > 2009 > Maths > Mathematics By Mr.Pravin Kumar

CBSE CLASS X

Q. 1. Letand their areas be, respectively, 64 cm² and 121 cm². If EF = 15.4 cm, find BC. (2)

Q. 2. In Fig., DE || AC and DF || AE. Prove that BF/EF = BE/EC (2)

Q. 3. ABC is an isosceles triangle right angled at C. Prove that AB² = 2AC² (2)

Q. 4.Prove that the tangents drawn from the external point to the circles are equal. (2)

Q. 5. In an equilateral triangle ABC, D is a point on side BC such that BD =1/3 BC. Prove that, 9 AD² = 7 AB². (3)

Q. 6. O is any point inside a rectangle ABCD
(see Fig).
Prove that OB² + OD² = OA² + OC². (3)

Q. 7. If a line is drawn parallel to one side of a triangle to intersect the other two sides in distinct points, the other two sides are divided in the same ratio. (4)

Q. 8. In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagoras Theorem). (4)

Q. 9. The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. Prove this.(4)

Q. 10. Prove, In a right triangle, the square of the hypotenuse is equal to the sum of the squares of the other two sides (Pythagoras Theorem). (4)

Paper By Mr.Pravin Kumar