Previous Year Papers

Download Solved Question Papers Free for Offline Practice and view Solutions Online.

Test Series

Take Zigya Full and Sectional Test Series. Time it out for real assessment and get your results instantly.

Test Yourself

Practice and master your preparation for a specific topic or chapter. Check you scores at the end of the test.

Mathematics : Areas of Parallelograms and Triangles

Short Answer Type

61. Show that a median of a triangle divides it into two triangles of equal areas.

107 Views

62.

In figure, ABCD is a quadrilateral and BE || AC and also BE meets DC produced at E.
Show that area of ΔADE is equal to the area of the quadrilateral ABCD

156 Views

63. X and Y are the mid-points of the sides AB and AC respectively of a ΔABC M is any point on its base BC, Prove that

ar left parenthesis increment MYX right parenthesis equals 1 fourth ar left parenthesis increment ABC right parenthesis.

107 Views

64.

ABCD is a quadrilateral such that AB = CD, diagonals AC and BD intersect at O such that OA = OC. AL and CM are perpendiculars drawn from A and C on BD. Show that ar(ΔOAB) = ar(ΔOCD)

269 Views

65. D and E are points on sides AB and AC respectively of ΔABC such that ar(ΔDBC) = ar(ΔABC). Prove that DE || BC.

97 Views

66. In the given figure, ABCD is a parallelogram. BE⊥AD. If BE= 14 cm and AD = 8 cm, find the area of ΔDBC.

100 Views

67. In the given figure, AD is the median of ΔABC. Prove that ar(ΔABD) = art(ΔACD)

89 Views

68. ABCD is a parallelogram with area 80 sq. cm. The diagonals AC and BD intersect at O. P is the mid-point of OA. Calculate ar(ΔBOP).

272 Views

69. In figure, ABDE and BCDE are two parallelograms. Show that

ar left parenthesis increment BDE right parenthesis equals 1 third ar left parenthesis quad. space space ACDE right parenthesis.

269 Views

70. D is the mid-point of side BC of ΔABC and E is the mid-point of BD. If O is the mid-point of AE, then prove that

ar left parenthesis increment BOE right parenthesis equals 1 over 8 ar left parenthesis increment ABC right parenthesis

98 Views