1.
In ³√5, 5 is called ……………….. . (Fill in the blanks)
2.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
3.
Find the quadratic equations whose zeroes are −½ and ⅔.
4.
√X is a perfect square. Which of the following is/are true?
5.
If A = { 1, 2, 3, 4 }, then how many subsets of A contain the element 1 but not 4 ?
6.
If the roots of 3×2 – 12x + k = 0 are complex, then find the range of k.
7.
Two cubes are with edge 'n' cm are joined together to form a cuboid. Find the ratio of the surface area of two cubes to the surface area of the cuboid.
8.
In a quadratic equation ax² + bx + c = 0, b² − 4ac < 0, then:
9.
x144 – y144 is always divisible by
10.
Find the minimum value of | x – 3 | − 11
11.
If 496 x 492 = x² – 4 (x>0), then x=——–
12.
Which of the following is/are true?
13.
If one of the roots of an equation x2 – 2x + c = 0 is thrice the other, then find 'c'.
14.
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.
15.
Cost of the 5 pens and 7 notebooks is Rs.82 and cost of 4 pens and 4 notebooks is Rs.52. Find the cost of 2 notebook and 3 pens.
16.
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?
17.
What are common measures of central tendency?
18.
Find the ratio of the circumference of the circle and the length of the arc of the sector of a circle having angle 72º.
19.
In a quadratic equation ax² + bx + c = 0, b² − 4ac > 0 and not a perfect square.
20.
The maximum value of 23 – |2x + 3 | is