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.

Geometry - Triangles

Multiple Choice Questions

In ΔABC, D and E are points on side AB and AC respectively. DE is parallel to BC. If lengths of AD, DB and DE are 10 cm, 5 cm and 6 cm respectively. What is the length of BC?

9 cm
2 cm
3 cm
11 cm

Δ DEF and Δ GHI are similar triangles. Length of DE is 4 cm and length of the corresponding side GH is 9 cm. What is the ratio of areas of Δ DEF and Δ GHI?

81 : 16
4 : 9
16 : 81
9 : 4

The internal bisectors of the $angle straight B$ and $angle straight C$ of the $increment ABC$ , intersect at O. If $angle straight A space equals space 100 degree$ , then the measure of $angle BOC$ is

$110 degree$
$140 degree$
$120 degree$
$120 degree$

285 Views

Given that, $increment ABC space tilde space space increment PQR.$ If $fraction numerator area left parenthesis increment PQR right parenthesis over denominator area left parenthesis increment ABC right parenthesis end fraction space equals 256 over 441$ and PR = 12 cm, then AC is equal to

15.5 cm
16 cm
$12 square root of 2 cm$
$12 square root of 2 cm$

218 Views

In $increment ABC$ , D and E are two mid-points of sides AB and AC, respectively. If $angle BAC space equals space 40 degree$ and $angle ABC space equals space 65 degree$ then $angle CED$ is

$75 degree$
$130 degree$
$125 degree$
$125 degree$

208 Views

Given an equilateral $increment ABC$ , D, E, F are the mid-points of AB, BC and AC respectively. Then, the quadrilateral BEFD is exactly a

square
rectangle
trapezium
trapezium

200 Views

The heights of two similar right angled triangles and are 48cm and 36 cm. If OP = 12 cm, then LM is

16 cm
20 cm
12 cm
12 cm

217 Views

In the given figures, the lengths of the sides of $increment ABC$ and $increment PQR$ are given and they are given in same units. Also, $angle straight A$ and $angle straight B$ are given. The value of $angle straight P$ is

$36 degree$
$38 degree$
$40 degree$
$40 degree$

171 Views

In two similar triangles ABC and MNP, if AB = 2.25 cm, MP = 4.5 cm and PN = 7.5 cm and m $angle ACB$ = m $angle MNP$ and m $angle ABC$ = m $angle MPN$ , then the length of side $BC with bar on top$ , (in cm) is