AB is the chord of a circle with centre O and DOC is a line segment originating from a point D on the circle and intersecting, AB produced at C such that BC = OD. If ∠BCD = 20°, then ∠AOD =? (SSC CGL 2nd Sit. 2013)
ABC is a triangle. The bisectors of the internal angle ∠B and external angle ∠C intersect at D. If ∠BDC = 50°, then ∠A is (SSC CGL 2nd Sit. 2013)
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ABCD is a cyclic trapezium with AB  DC and AB = diameter of the circle. If ∠CAB = 30° then ∠ADC is (SSC CGL 2nd Sit. 2013)
ABC is an isosceles triangle such that AB = AC and ∠B = 35°. AD is the median to the base BC. Then ∠BAD is: (SSC CGL 1st Sit. 2013)
AB and CD are two parallel chords of a circle such that AB = 10 cm and CD = 24 cm. If the chords are on the opposite sides of the centre and distance between them is 17 cm, then the radius of the circle is: (SSC CGL 1st Sit. 2013)
P and Q are two points on a circle with centre at O. R is a point on the minor arc of the circle, between the points P and Q. The tangents to the circle at the points P and Q meet each other at the point S. If ∠PSQ = 20°, ∠PRQ =? (SSC CGL 1st Sit. 2013)
If ABCD be a rectangle and P, Q, R, S be the mid points of respectively, then the area of the quadrilateral PQRS is equal to: (SSC CGL 1st Sit. 2013)
A chord of length 30 cm is at a distance of 8 cm from the centre of a circle. The radius of the circle is: (SSC CGL 1st Sit. 2013)
In a triangle ABC, AB = AC, ∠BAC = 40°. Then the external angle at B is: (SSC CGL 1st Sit. 2013)
A chord AB of a circle C_{1} of radius (√3 + 1) cm touches a circle C_{2} which is concentric to C_{1}. If the radius of C_{2} is (√3  1) cm, the length of AB is: (SSC CGL 1st Sit. 2013)
If ΔABC is similar to ΔDEF such that BC = 3 cm, EF = 4 cm and area of ΔABC = 54 cm^{2}, then the area of ΔDEF is: (SSC CGL 1st Sit. 2013)
The perpendiculars, drawn from the vertices to the opposite sides of a triangle, meet at the point whose name is (SSC CHSL 2013)
If in ΔABC, ∠ABC = 5∠ACB and ∠BAC = 3 ∠ACB, then ∠ABC = (SSC CHSL 2013)
360 sq. cm and 250 sq. cm are the areas of two similar triangles. If the length of one of the sides of the first triangle be 8 cm, then the length of the corresponding side of the second triangle is (SSC CHSL 2013)
A chord 12 cm long is drawn in a circle of diameter 20 cm. The distance of the chord from the centre is (SSC CHSL 2013)
From a point P, two tangents PA and PB are drawn to a circle with centre O. If OP is equal to diameter of the circle, then ∠APB is (SSC CHSL 2013)
In ΔABC. ∠A + ∠B = 145° and ∠C + 2∠B = 180°. State which one of the following relations is true? (SSC Sub. Ins. 2013)
In a triangle ABC, BC is produced to D so that CD = AC. If ∠BAD = 111° and ∠ACB = 80°, then the measure of ∠ABC is: (SSC Sub. Ins. 2013)
The areas of two similar triangles ABC and DEF are 20 cm^{2} and 45 cm^{2} respectively. If AB = 5 cm. then DE is equal to: (SSC Sub. Ins. 2013)
In the following figure. AB be diameter of a circle whose centre is O. If ∠AOE = 150°. ∠DAO = 51° then the measure of ∠CBE is: (SSC Sub. Ins. 2013)
Triangle PQR circumscribes a circle with centre O and radius r cm such that ∠PQR = 90°. If PQ = 3 cm, QR= 4 cm, then the value of r is: (SSC Sub. Ins. 2013)
If area of an equilateral triangle is a and height b, then value of b^{2}/a is: (SSC Sub. Ins. 2013)
A wheel rotates 3.5 times in one second. What time (in seconds) does the wheel take to rotate 55 radian of angle? (SSC CGL 2nd Sit. 2012)
A and B are centres of the two circles whose radii are 5 cm and 2 cm respectively. The direct common tangents to the circles meet AB extended at P. Then P divides AB. (SSC CGL 2nd Sit. 2012)
O is the centre of the circle passing through the points A, B and C such that ∠BAO = 30°, ∠BCO = 40° and ∠AOC = x°.
What is the value of x? (SSC CGL 2nd Sit. 2012)
Two circles intersect each other at P and Q. PA and PB are two diameters. Then ∠AQB is (SSC CGL 2nd Sit. 2012)
The bisector of ∠A of ΔABC cuts BC at D and the circumcircle of the triangle at E. Then (SSC CGL 2nd Sit. 2012)
Two circles with same radius r intersect each other and one passes through the centre of the other. Then the length of the common chord is (SSC CGL 2nd Sit. 2012)
AB is a diameter of the circumcircle of ΔAPB; N is the foot of the perpendicular drawn from the point P on AB. If AP = 8 cm and BP = 6 cm, then the length of BN is (SSC CGL 2nd Sit. 2012)
If P, R, T are the area of a parallelogram, a rhombus and a triangle standing on the same base and between the same parallels lines which of the following is true? (SSC CGL 2nd Sit. 2012)
ABC is a triangle. The medians CD and BE intersect each other at O. Then ΔODE : ΔABC is (SSC CGL 2nd Sit. 2012)
If D is the midpoint of the side BC of ΔABC and the area of ΔABD is 16 cm^{2}, then the area of ΔABC is (SSC CGL 2nd Sit. 2012)
The length of the circumradius of a triangle having sides of lengths 12 cm, 16 cm and 20 cm is (SSC CGL 2nd Sit. 2012)
The radius of the circumcircle of the triangle made by xaxis, yaxis and 4x + 3y = 12 is (SSC CGL 2nd Sit. 2012)
A rail road curve is to be laid out on a circle. What radius should be used if the track is to change direction by 25° in a distance of 40 metres? (SSC CGL 1st Sit. 2012)
When a pendulum of length 50 cm oscillates, it produces an arc of 16 cm. The angle so formed in degree measure is (approx) (SSC CGL 1st Sit. 2012)
The external bisectors of ∠B and ∠C of ΔABC meet at point P. If ∠BAC = 80°, then ∠BPC is (SSC CGL 1st Sit. 2012)
If I is the Incentre of ΔABC and ∠A = 60°, then the value of ∠BIC is (SSC CGL 1st Sit. 2012)
Two circles with radii 5 cm and 8 cm touch each other externally at a point A. If a straight line through the point A cuts the circles at points P and Q respectively, then AP : AQ is (SSC CGL 1st Sit. 2012)
BC is the chord of a circle with centre O. A is a point on major arc BC as shown in the above figure. What is the value of ∠BAC + ∠OBC? (SSC CGL 1st Sit. 2012)
159 docs268 tests

159 docs268 tests
