1.
Which of the following is correct about the properties of a circle?
2.
Which of the following is true for every rational number?
3.
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.
4.
√X is a perfect square. Which of the following is/are true?
5.
4n = 4096, then find 2n – 5.
6.
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.
7.
If P = 3 x³ – 5x + 9, Q = 4x³ + 5x² – 11 and R = 5x³ + 4x² – 3x + 7, then P – 2Q + R is
8.
In which condition or conditions the roots of a pure quadratic equation exists?
9.
What kind of an angle subtended by a minor arc in its alternate segment?
10.
The polynomial x³ – 4x² + x – 4 on factorization gives
11.
Which of the given options is a similar surd?
12.
If the roots of 3×2 – 12x + k = 0 are complex, then find the range of k.
13.
x144 – y144 is always divisible by
14.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
15.
If 496 x 492 = x² – 4 (x>0), then x=——–
16.
What is the smallest positive irrational number?
17.
If the quadratic x2 + ( a – 4 ) x + ( a + 4 ) is a perfect square, then a = ________
18.
ab x ba,= 72 and a or b ≠ 1. Find the possible positive values of a + b.
19.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
20.
A circle is inscribed in a square of side 14 m. Find the ratio of the circumference of the circle and perimeter of the square.
