AB is a diameter of a circle with centre O. A tangent is drawn at point A. C is a point on the circle such that BC produced meets the tangent at P. If ∠APC = 62°, find the measure of minor arc AC. SSC CGL 2021-11.04.2022-1
O is the centre of a circle with diameter 20 cm. T is a point outside the circle and TA is a tangent to a circle. If OT is 26 cm, what is the length (in cm) of the tangent TA? SSC CGL 2021-11.04.2022-2
In a circle with centre O, chords PR and QS meet at the point T, when produced, and PQ is a diameter. If ∠ROS = 42º, then the measure of ∠PTQ is SSC CGL 2021-11.04.2022-2
Two circles touch each other externally at T. RS is a direct common tangent to the two circles touching the circles at P and Q. ∠TPQ = 42°. ∠PQT (in degrees) is: SSC CGL 2021-11.04.2022-3
AB is the diameter of a circle with centre O. C and D are two points on the circumference of the circle on either side of AB, such that ∠CAB = 42° and ∠ABD = 57°. What is difference (in degrees) between the measures of ∠CAD and ∠CBD? SSC CGL 2021-11.04.2022-3
The difference berween the two perpendicular sides of a right-angled triangle is 17 cm and its area is 84 cm2, What is the perimeter (in cm) of the triangle? SSC CGL 2021-12.04.2022-1
