1.
For a quadratic polynomial p(x) = ax² + bx + c, the sum of zeroes of the polynomial is:
2.
Find the minimum value of | x – 3 | − 11
3.
What should be subtracted from x³ + 2x² -3x +6, so that the difference is a multiple of x − 2 ?
4.
In a cyclic quadrilateral PQRS, PS = PQ, RS = RQ and ∠PSQ = 2∠QSR, then find ∠QSR.
5.
Which of the following is/are true?
6.
If a² – b² = 36 and a + b =4, then (a – b)² =———-
7.
Find the ratio of the circumference of the circle and the length of the arc of the sector of a circle having angle 72º.
8.
If it is given that xyz = 0, Find: (ax)yz + (ay)xz + (az)xy
9.
Which of the given options needs a proof to believe ?
10.
The discriminant of the equation x2 – 7x + 2 = 0 is
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.
Four non-collinear distinct points are given in a plane. How many straight lines can be drawn passing through at least two points ?
13.
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.
14.
Which of the given options is a similar surd?
15.
A square sheet of maximum area is cut out from a circular piece of card board of diameter 21 cm. Find the area of the remaining card board.
16.
Find each interior and exterior angle of a regular polygon having 30 sides.
17.
What is the quotient when (x³ − 8) is divided by (x² + 2x +4)?
18.
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.
19.
In ³√5, 5 is called ……………….. . (Fill in the blanks)
20.
In which condition or conditions the roots of a pure quadratic equation exists?
