61. The perimeter of right-angle triangle is 60 cm and its hypotenuse is 26 cm. What is the area (in cm2) of the triangle?
62. In an isosceles ΔABC, AD is the median to the unequal side meeting BC at D. DP is the angle bisector of ∠ADB and PQ is drawn parallel to BC meeting AC at Q. Then the measure of ∠PDQ is
63. Two concentric circles are of redii 13 cm and 5 cm. The length of the chord of the larger circle
which touches the smaller circle is:
64. Two tangents AP and AQ are drawn to a circle with centre O from an external point A, where P and Q are points on the circle. If AP = 12 cm and ∠PAQ = 60°, then the length of chord PQ is:
65. Two tangents PA and PB are drawn from an external point P to a circle with centre O at the points A and B respectively on it, such that ∠APB = 120° and AP = 12.5 cm. The length of OP is:
66. In the given figure, PT is a common tangent to three circles at points A, B and C respectively. The radius of the small, medium and large circles is 4 cm, 6 cm and 9 cm. O1, O2 and O3 are the centre of the three circles what is the value (in cm) of PC?
67. In ΔPQR, S is a point on the side QR such that ∠QPS = $$\frac{1}{2}$$ ∠PSR, ∠QPR = 78° and ∠PRS = 44°. What is the measure of ∠PSQ?
68. A secant is drawn from a point P to a circle so that it meets the circle first at A, then goes through the centre, and leaves the circle at B. If the length of the tangent from P to the circle is 12 cm, and the radius of the circle is 5 cm, then the distance from P to A is:
69. In ΔABC, D and E are points on the sides AB and AC, respectively, such that DE || BC and DE : BC = 6 : 7. (Area of ΔADE) : (Area of trapezium BCED) = ?
70. In the given figure, ABCD is a rectangle and P is a point on DC such that BC = 24 cm, DP = 10 cm and CD = 15 cm. If AP produced intersects BC produced at Q, then the length of AQ.
Read More Section(Geometry)
Each Section contains maximum 100 MCQs question on Geometry. To get more questions visit other sections.