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SSC CGL Previous Year Questions: Geometry- 6 - Question 1

PQ is a direct common tangent of two circles of radii r_{1} and r_{2} touching each other externally at A. Then the value of PQ_{2} is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 1

SSC CGL Previous Year Questions: Geometry- 6 - Question 2

AC and BC are two equal chords of a circle. BA is produced to any point P and CP, when joined cuts the circle at T. Then (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 2

SSC CGL Previous Year Questions: Geometry- 6 - Question 3

If S is the circumcentre of ΔABC and ∠A = 50°, then the value of ∠BCS is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 3

SSC CGL Previous Year Questions: Geometry- 6 - Question 4

Let BE and CF the two median s of a ΔABC and G be their intersection. Also let EF cut AG at O. Then AO: OG is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 4

SSC CGL Previous Year Questions: Geometry- 6 - Question 5

If the ratio of areas of two similar triangles is 9 : 16, then the ratio of their corresponding sides is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 5

SSC CGL Previous Year Questions: Geometry- 6 - Question 6

In an obtuse-angled triangle ABC, ∠A is the obtuse angle and O is the orthocenter. If ∠BOC = 54°, then ∠BAC is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 6

SSC CGL Previous Year Questions: Geometry- 6 - Question 7

The perimeters of two similar triangle ΔABC and ΔPQR are 36 cm and 24 cm respectively. If PQ = 10 cm, then AB is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 7

SSC CGL Previous Year Questions: Geometry- 6 - Question 8

P is a point outside a circle and is 13 cm away from its centre. A secant drawn from the point P intersect the circle at points A and B in such a way that PA = 9 cm and AB = 7 cm. The radius of the circle is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 8

SSC CGL Previous Year Questions: Geometry- 6 - Question 9

R and r are the radius of two circles (R > r). If the distance between the centre of the two circles be d, then length of common tangent of two circles is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 9

SSC CGL Previous Year Questions: Geometry- 6 - Question 10

AB is a diameter of a circle with centre O. CD is a chord equal to the radius of the circle. AC and BD are produced to meet at P. Then the measure of ∠APB is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 10

SSC CGL Previous Year Questions: Geometry- 6 - Question 11

The length of the common chord of two circles of radii 15 cm and 20 cm whose centres are 25 cm apart is (in cm): (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 11

SSC CGL Previous Year Questions: Geometry- 6 - Question 12

D and E are the mid-points of AB and AC of DABC; BC is produced to any point P; DE, DP and EP are joined. Then, (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 12

SSC CGL Previous Year Questions: Geometry- 6 - Question 13

O is the circumcentre of the triangle ABC with circumradius 13 cm. Let BC = 24 cm and OD is perpendicular to BC. Then the length of OD is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 13

SSC CGL Previous Year Questions: Geometry- 6 - Question 14

By decreasing 15° of each an gle of a trian gle, the ratios of their angles are 2 : 3 : 5. The radian measure of greatest angle is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 14

SSC CGL Previous Year Questions: Geometry- 6 - Question 15

If G is the centroid of ΔABC and AG = BC, then ∠BGC is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 15

SSC CGL Previous Year Questions: Geometry- 6 - Question 16

ΔABC and ΔDEF are similar and their areas be respectively 64 cm^{2} and 121 cm^{2}. If EF = 15.4 cm, BC is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 16

SSC CGL Previous Year Questions: Geometry- 6 - Question 17

The perimeter of an isosceles, right-angled triangle is 2p unit. The area of the same triangle is: (SSC CGL 2nd Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 17

SSC CGL Previous Year Questions: Geometry- 6 - Question 18

In ΔABC, AD is the median and AD = 1/2 BC. If ∠BAD = 30°, then measure of ∠ACB is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 18

SSC CGL Previous Year Questions: Geometry- 6 - Question 19

Two sides of a triangle are of length 4 cm and 10 cm. If the length of the third side is 'a' cm. then (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 19

SSC CGL Previous Year Questions: Geometry- 6 - Question 20

The angle formed by the hour–hand and the minute–hand of a clock at 2 : 15 p.m. is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 20

SSC CGL Previous Year Questions: Geometry- 6 - Question 21

If the length of the side PQ of the rhombus PQRS is 6 cm and ∠PQR = 120°, then the length of QS, in cm, is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 21

SSC CGL Previous Year Questions: Geometry- 6 - Question 22

If each interior angle is double of each exterior angle of a regular polygon with n sides, then the value of n is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 22

SSC CGL Previous Year Questions: Geometry- 6 - Question 23

Two tangents are drawn from a point P to a circle at A and B. O is the centre of the circle. If ∠AOP = 60°, then ∠APB is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 23

SSC CGL Previous Year Questions: Geometry- 6 - Question 24

Two circles of radii 4 cm and 9 cm respectively touch each other externally at a point and a common tangent touches them at the points P and Q respectively. They the area of a square with one side PQ, is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 24

SSC CGL Previous Year Questions: Geometry- 6 - Question 25

The side BC of ΔABC is produced to D. If ∠ACD = 108° and (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 25

SSC CGL Previous Year Questions: Geometry- 6 - Question 26

In the following figure, O is the centre of the circle and XO is perpendicular to OY. If the area of the triangle XOY is 32, then the area of the circle is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 26

SSC CGL Previous Year Questions: Geometry- 6 - Question 27

A, O, B are three points on a line segment and C is a point not lying on AOB. If ∠AOC = 40° and OX, OY are the internal and external bisectors of ∠AOC respectively, then ∠BOY is (SSC CGL 1st Sit. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 27

SSC CGL Previous Year Questions: Geometry- 6 - Question 28

The length of radius of a circumcircle of a triangle having sides 3 cm, 4 cm and 5 cm is: (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 28

SSC CGL Previous Year Questions: Geometry- 6 - Question 29

The length of the two sides forming the right angle of a right-angled triangle are 6 cm and 8 cm. The length of its circumradius is: (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 29

SSC CGL Previous Year Questions: Geometry- 6 - Question 30

If ΔABC is an isosceles triangle with ∠C = 90º and AC = 5 cm, then AB is: (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 30

SSC CGL Previous Year Questions: Geometry- 6 - Question 31

ABC is a right angled triangle, right angled at C and p is the length of the perpendicular from C on AB. If a, b and c are the lengths of the sides BC, CA and AB respectively, then (SSC CHSL 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 31

SSC CGL Previous Year Questions: Geometry- 6 - Question 32

If in ΔABC, ∠A = 90°, BC = a, AC = b and AB = c, then the value of tan B + tan C is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 32

SSC CGL Previous Year Questions: Geometry- 6 - Question 33

In the following figure, if OA = 10 and AC = 16, then OB must be (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 33

SSC CGL Previous Year Questions: Geometry- 6 - Question 34

G is the centroid of ΔABC. If AG = BC, then ∠BGC is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 34

SSC CGL Previous Year Questions: Geometry- 6 - Question 35

PA and PB are two tangents drawn from an external point P to a circle with centre O where the points A and B are the points of contact. The quadrilateral OAPB must be (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 35

SSC CGL Previous Year Questions: Geometry- 6 - Question 36

In the figure below, if AB || CD and CE ⊥ ED, then the value of x is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 36

SSC CGL Previous Year Questions: Geometry- 6 - Question 37

In ΔABC, ∠B = 60°, ∠C = 40°. If AD bisects ∠BAC and AE ⊥ BC, then ∠EAD is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 37

SSC CGL Previous Year Questions: Geometry- 6 - Question 38

ABCD is a quadrilateral in which diagonal BD = 64 cm, AL ⊥ BD and CM ⊥ BD, such that AL = 13.2 cm and CM = 16.8 cm. The area of the quadrilateral ABCD (in square centimetres) is (SSC Sub. Ins. 2012)

Detailed Solution for SSC CGL Previous Year Questions: Geometry- 6 - Question 38

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