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 - Quadrilaterals and Polygons

Multiple Choice Questions

ABCD is a cyclic quadrilateral. Diagonals AC and BD meets at P. If $angle APB space equals space 110 degree$ and $angle CBD space equals space 30 degree$ , then $angle ADB$ measures

$80 degree$
$70 degree$
$30 degree$
$30 degree$

866 Views

2.
In the given figure, POQ is a diameter and PQRS is a cyclic quadrilateral. If $angle PSR space equals space 130 degree$ , then the value of $angle RPQ$ is

$40 degree$
$45 degree$
$35 degree$
$35 degree$

40 degree

Since, POQ is a diameter of a circle. We know that angle in a semicircle is right angle.
i.e., $angle PRQ space equals space 90 degree$
and in cyclic quadrilateral PQRS,
$angle straight S plus angle straight Q space equals space 180 degree$
$rightwards double arrow$ $130 degree space plus space angle straight Q space equals space 180 degree$
$angle straight Q space equals space 180 degree minus 130 degree space equals space 50 degree$
In $increment PQR comma$
$angle RPQ space equals space 180 degree minus left parenthesis angle PRQ space plus space angle PQR right parenthesis$
(angle sum property)
$equals 180 degree minus left parenthesis 50 degree plus 90 degree right parenthesis equals 180 degree minus 140 degree equals 40 degree$

637 Views

If ABCD is a cyclic parallelogram, then the $angle straight A$ is

$60 degree$
$80 degree$
$90 degree$
$90 degree$

510 Views

The length of the two parallel sides of a trapezium are 16m and 20 m respectively. If its height is 10 m, its area in square metres is:

271 Views

Which of the following is not true for a rhombus?

All sides are congruent
Opposite sides are parallel
Diagonals are equal
Diagonals are equal

277 Views

The length of the two adjacent sides of a rectangle inscribed in a circle are 5cm and 12 cm respectively. Then the radius of the circle will be

6 cm
6.5 cm
8 cm
8 cm

234 Views

In a cyclic quadrilateral ABCD, $angle BCD space equals space 120 degree$ and passes through the centre of the circle. Then $angle ABD space equals space ?$

$30 degree$
$40 degree$
$50 degree$
$50 degree$

470 Views

Two regular polygons are such that the ratio between their number of sides is 1:2 and the ratio of measures of their interior angles is 3:4. Then the number of sides of each polygon are