1.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
2.
In ³√5, 5 is called .................... . (Fill in the blanks)
3.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
4.
Fill in the blanks: Compound interest for nth year is equal to the simple interest on the amount of …………the year?
5.
In a quadrilateral, all angles are less than 180° and two of its diagonals lie completely inside the quadrilateral. The quadrilateral is known as:
6.
³√5 is an irrational number as well as a surd. State true or false.
7.
For an equation ax² + bx + c = 0, the discriminant (D) < 0, then:
8.
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.
9.
x144 - y144 is always divisible by
10.
Find the quadratic equations whose zeroes are −½ and ⅔.
11.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
12.
For an equation ax² + bx + c = 0, the discriminant (D) ≥ 0, then:
13.
Which of the following is/are true?
14.
In a right angled triangle, one of the perpendicular sides is 4 cm greater than the other and 4 cm lesser than the hypotenuse. Find the area of triangle in cm2 ?
15.
If the quadratic x2 + ( a – 4 ) x + ( a + 4 ) is a perfect square, then a = ________
16.
In logarithms, which of the given options is true?
17.
Y is an integer satisfying -3 ≤ 4Y – 7 ≤ 5. How many such values are possible?
18.
Period of the decimal 2.3636363....... is :
19.
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.
20.
If 3x -1 is a factor of the polynomial 81 x³ - 45x² + 3a - 6, then a is __________.
