1.
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.
2.
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.
3.
If the roots of 3×2 – 12x + k = 0 are complex, then find the range of k.
5.
x144 – y144 is always divisible by
6.
For a quadratic polynomial p(x) = ax² + bx + c, the product of zeroes of the polynomial is:
7.
Which of the following is different from a line ?
8.
For what value of K is 16x² + 24xy + K a perfect square?
9.
Which of the following terms and conditions must be there if ax² + bx + c = 0 is to be a quadratic equation?
10.
In a quadratic equation ax² + bx + c = 0, b² − 4ac > 0 and not a perfect square.
11.
'x' is an integer satisfying 1 ≤ 2x + 3 ≤ 7. How many values there can be?
12.
In logarithms, which of the given options is true?
13.
Which of the following is correct about the properties of a circle?
14.
In logarithms, which of the given options is true?
15.
Given that a + b + c = 0, find: √( xa . xb . xc )
16.
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.
17.
If the quadratic x2 + ( a – 4 ) x + ( a + 4 ) is a perfect square, then a = ________
18.
If 3x -1 is a factor of the polynomial 81 x³ – 45x² + 3a – 6, then a is __________.
19.
The discriminant of the equation x2 – 7x + 2 = 0 is
20.
Which of the following is an irrational number?
