1.
If the quadratic x2 + ( a – 4 ) x + ( a + 4 ) is a perfect square, then a = ________
2.
In a quadratic equation ax² + bx + c = 0, b² − 4ac > 0 and not a perfect square.
3.
Find the quadratic equations whose zeroes are −½ and ⅔.
4.
In which condition or conditions the roots of a pure quadratic equation exists?
5.
Given that a + b + c = 0, find: √( xa . xb . xc )
6.
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.
7.
Fill in the blanks: Compound interest for nth year is equal to the simple interest on the amount of …………the year?
8.
√X is a perfect square. Which of the following is/are true?
9.
If a² - b² = 36 and a + b =4, then (a - b)² =----------
10.
Can a regular polygon have an exterior angle equal to 50°? Why or why not?
11.
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.
12.
2a = 4b = 8c = 64. Find a² + b² + c².
13.
For an equation ax² + bx + c = 0, the discriminant (D) < 0, then:
14.
A non-recurring non-terminating decimal number is always :
15.
If the roots of 3x2 – 12x + k = 0 are complex, then find the range of k.
16.
The area of a triangle is 108 cm². If the base is 13.5 cm, then find its corresponding height.
17.
What kind of an angle subtended by a minor arc in its alternate segment?
18.
For a quadratic polynomial p(x) = ax² + bx + c, the product of zeroes of the polynomial is:
19.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
20.
The maximum value of 23 - |2x + 3 | is
