Solved geometry Sample paper for NDA exam

NDA exam question papers -

NDA sample papers

National Defence Academy Exam (NDA Exam) Free Online test

1. The angle subtended by an arc of a circle at the centre is K times the angle

subtended by it at any point on the remaining part of the circle, then K is equal to

(a) 1/2

(b) 1

(c) 2

(d) 3

Ans. (c)

2. The angle in a segment greater than a semicircle is

(a) 90°

(b) less than 90°

(c) greater than 90°

(d) not known

Ans. (c)

3. There are two concentric circles of radii 13 cm and 12 cm. Then the length of the

chord of the outer circle which touches the inner circle is

(a) 10 cm

(b) 13 cm

(c) 12 cm

(d) 12.5 cm

Ans. (c)

4. The locus of a point equidistant from two intersecting lines is a

(a) circle

(b) pair of parallel lines

(c) hyperbola

(d) pair of bisectors of angles

Ans. (d)

5. To determine any straight line, at least K points are required. Then K is equal to

(a) 4

(b) 3

(c) 2

(d) 1

Ans. (c)

6. The point of concurrency of three altitudes of a triangle is called its

(a) incentre

(b) circumcentre

(c) centroid

(d) orthocentre

Ans. (d)

7. At 4.24 pm, how many degrees has the hour hand of a clock moved from its position

at noon?

(a) 135°

(b) 134°

(c) 133°

(d) 132°

Ans. (d)

8. If two circles touch each other externally, then the number of common tangents to

the circles is

(a) 4

(b) 3

(c) 2

(d) 1

Ans. (b)

9. A circle is inscribed in a triangle whose sides arc 8 cm, 15 cm and 17 cm then the

radius of the circle is

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) none of these

Ans. (a)

10. ABCD is a cyclic trapezium and AB CD. If AB be the diameter of the circle and

CAB = 30°, then the value of ADC is

(a) 110°

(b) 115°

(c) 120°

(d) 125°

Ans. (c)

11. The distance of the chord of length 16 cm, from the centre of the circle of diameter

20 cm, is

(a) 3 cm

(b) 4 cm

(c) 5 cm

(d) 6 cm

Ans. (d)

12. The centres of two circles with radii 8 cm and 3 cm are 13 cm apart. A direct

common tangent touches the circles at A and B respectively, then the length of AB

is

(a) 8 cm

(b) 10 cm

(c) 12 cm

(d) none of these

Ans. (c)

13. The maximum number of common tangents drawn to two intersecting circles is

(a) 1

(b) 2

(c) 3

(d) 4

Ans. (b)

14. The length of the tangent from an external point, at a distance of 13 cm from the

centre of the circle of radius 5 cm, is

(a) 10 cm

(b) 12 cm

(c) 13 cm

(d) 14 cm

Ans. (b)

15. The measure of an angle which is five times its supplement is

(a) 36°

(b) 30°

(c) 50°

(d) 180°

Ans. (c)

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