1.
If the roots of 3x2 – 12x + k = 0 are complex, then find the range of k.
2.
Find each interior and exterior angle of a regular polygon having 30 sides.
3.
For an equation ax² + bx + c = 0, the discriminant (D) = 0, then:
4.
A system of two linear equations having same two variables but having no solution is known as inconsistent system of linear equation.
5.
For an equation ax² + bx + c = 0, the discriminant (D) < 0, then:
6.
In a polygon, the greater angle is 110° and all the angles are distinct but equal in degrees. Find the maximum number of sides it can have.
7.
If the numerically smaller root of x2 + mx = 2 is 3 more than the other one, find the value of m.
8.
Which of the given options needs a proof to believe ?
9.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
10.
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?
11.
The product of two irrational numbers can be a rational number.
12.
In which condition or conditions the roots of a pure quadratic equation exists?
13.
A square sheet of maximum area is cut out from a circular piece of card board of diameter 21 cm. Find the area of the remaining card board.
14.
In a circle, there is 30 cm long chord. If the radius of the circle is 17 cm, find the distance of chord from the center.
15.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
16.
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.
17.
Find the quadratic equations whose zeroes are −½ and ⅔.
18.
4n = 4096, then find 2n – 5.
19.
What are common measures of central tendency?
20.
What is the maximum number of rational numbers between two rational numbers ?
