1.
In a cyclic quadrilateral PQRS, PS = PQ, RS = RQ and ∠PSQ = 2∠QSR, then find ∠QSR.
2.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
3.
Find the quadratic equations whose zeroes are −½ and ⅔.
4.
4n = 4096, then find 2n – 5.
5.
Which of the following is an irrational number?
6.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
7.
A, B, C and D are concyclic. AC bisects BD. If the AB = 9 cm, BC = 8 cm and CD = 6 cm, the find the measure of AD.
8.
Can a regular polygon have an exterior angle equal to 50°? Why or why not?
9.
Total surface area of hemisphere is :
10.
Period of the decimal 2.3636363……. is :
11.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
12.
Shiva's age is three times that of Ram. After 10 years Shiva's age will be three years more than twice the age of Ram. What is present age of Shiva?
13.
A system of two linear equations having same two variables but having no solution is known as inconsistent system of linear equation.
14.
If 3x -1 is a factor of the polynomial 81 x³ – 45x² + 3a – 6, then a is __________.
15.
Which of the given options is a similar surd?
16.
The quotient of two irrational numbers can be a rational number.
17.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
18.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
19.
The ratio between the exterior angle and the interior angle of a regular polygon is 1 : 3. Find the number of the sides of the polygon.
20.
A uniform path is laid around and outside of a square field is 64 m² it. If the area of the path is 17 m², find the width of the path.
