Day 51: MH SSC Class 10 Geometry

Circle. Asked once: Mar 2019

Q4(ii)

In the given figure, O is the centre of the circle. $\angle QPR = 70^\circ$ and $m(\text{arc PYR}) = 160^\circ$, then find the value of each of the following: (a) m(arc QXR), (b) $\angle QOR$, (c) $\angle PQR$.

Show model answer

Circle. Asked once: Mar 2017

Q3(ii)

Find the angle between the two radii at the centre of the circle as shown in the figure. Lines PA and PB are tangents to the circle at the other ends A and B of the radii OA and OB, and $\angle APR = 140^\circ$.

Show model answer

Circle. Asked once: Mar 2016

Q3(ii)

In the figure, secants containing chords $RS$ and $PQ$ of a circle intersect each other at point $A$ in the exterior of the circle. If $m(\text{arc } PCR) = 26^\circ$ and $m(\text{arc } QDS) = 48^\circ$, then find: (i) $m\angle PQR$ (ii) $m\angle SPQ$ (iii) $m\angle RAQ$.

Show model answer

Circle. Asked once: Mar 2016

Q1(iii)

In the figure, line $SR$ is a tangent to the circle at $Q$ and $m(\text{arc } PMQ) = 130^\circ$. Find $\angle PQS$.

Show model answer