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Which of the following statement(s) given below is / are TRUE?

A: If there is a line and a point not on the line, then there exists more than one lines though the point that is parallel to the given line.

B: If a line is tangent to a circle, it is perpendicular to any chord of the circle drawn to the point of tangency.

C: A straight line can be determined by more than two points.
1. None
2. B
3. C
4. A and B

What is the area (in sq. units) of the triangle formed by the graphs of the equations 2x + 5y – 12 = 0, x + y = 3 and y = 0?
1. 3 unit2
2. 2 unit2
3. 5 unit2
4. 6 unit2

The graphs of the linear equations 3x – 2y = 8 and 4x + 3y = 5 intersect at the point P(∝, β). What is the value of (2 ∝ – β)?
1. 5
2. 6
3. 3
4. 4

In the given figure, (a + b) equals

(a) 235° (b) 215° (c) 195° (d) 225°

Find the complement of the angle 1/3 of 90°
1. 60° 
2. 30° 
3. 45° 
4. 10°

If the radius of incircle of ΔABC is √2 cm and the length of sides AB, BC and AC is 5 cm, 6 cm and 9 cm respectively, what is the area of ΔABC?
1. 20√2 cm2
2. 10√2 cm2
3. 15 cm2
4. 10.4 cm2

In ΔABC, the bisector of ∠A intersects side BC at D. If AB = 12 cm, AC = 15 cm and BC = 18 cm, then the length of BD is
1. 8 cm
2. 9.6 cm
3. 7.5 cm
4. 9 cm

Consider the following statements:

I. The circle can have maximum three common points.

II. Centre can be identified by the help of single given chord. 


1. 1 only
2. 2 only
3. Both 1 and 2
4. Neither 1 nor 2

The radii of the two circles are 6 cm & 8 cm respectively. The distance between the center of the two circles is 15 cm, then find the ratio of the length of the direct common tangent to the length of the transverse common tangent.
1. √321 ∶ √29
2. √221 ∶ √19
3. √221 ∶ √29
4. √121 ∶ √29

A polyhedron has 6 faces and 8 vertices. How many edges does it have?
1. 10
2. 12
3. 14
4. 15

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