If a, b are rational numbers and , the value of (a + b) is

• -5

• 3

• -3

• -3

The graph of the linear equation 3x + 4y = 24 is a straight line intersecting x-axis and y-axis at the points A and B respectively. P(2, 0) and  are two points on the sides OA and OB respectively of Δ OAB, where O is the origin of co-ordinate system. Given that AB = 10 cm, then PQ = 

• 20 cm

• 2.5 cm

• 40 cm

• 40 cm

The area of the triangle formed by the straight line 3x + 2y = 6 and the co-ordinate axes is

• 3 square units

• 6 square units

• 4 square units

• 4 square units

The length of the intercept of the graph of the equation 9x - 12y = 108 between the two axes is

• 15 units

• 9 units

• 12 units

• 18 units

75.

If  then the value of x²⁰⁶ + x²⁰⁰ + x⁹⁰ + x⁸⁴ + x¹⁸ + x¹² + x⁶ + 1 is

• 0

• 1

• 84

• 84

If the incentre of an equilateral triangle lies inside the triangle and its radius is 3 cm, then the side of the equilateral triangle is 

Suppose ΔABC be a right-angled triangle where  and  If Δ ABC = 40 cm², ΔACD = 10 cm² and  then the length of BC is

• 12 cm

• 18 cm

• 4 cm

• 4 cm

Two circles touch each other externally at P. AB is a direct common tangent to the two circles, A and B are points of contact and . Then  is

• 35°

• 55°

• 65°

• 65°

The length of the common chord of two intersecting circles is 24 cm. If the diameters of the circles are 30 cm and 26 cm, then the distance between the circles in cm is

• 13

• 14

• 15

• 15

In ΔABC, D and E are points on AB and AC respectively such that DE || BC and DE divides the ΔABC into two parts of equal areas. Then ratio of AD and BD is

• 1 : 1

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