Question

MATHEMATICS

1. Find the value of k if ( x-3) is a factor of 2x2

-kx+1.

2. Find the value of (16)0.16x (16)0.09

.

3. Write down the point where the coordinate axis intersect.

4. Write a linear equation passing through the point (2,15).

5. Evaluate (102)3 using suitable identity.

6. Evaluate (12)3 + (-7)3 + (-5)3using suitable identity.

7. Write two solutions for the following equation :

2x+y=7

8. Represent √5 on a number line.

9. Express 1.2171717------------ in the form of p/q.

10. Simplify (x+2y)3 – (x-2y)3

11. If a + b + c = 0 then prove that a3 + b3 + c3 = 3abc.

12. Factorise: x

3 − 23x

2 + 142x − 120.

13. Find the quotient and the remainder when the polynomial 3x4 – 4x3 – 3x – 1

is divided by x-1. Also verify the remainder by remainder theorem.

14. Simplify : 1

2+√3

+

2

√5−√3

+

1

2 − √5

.

15. If x=2+√3 then find the value of x2 – 1/x2

16. Give the geometric representationof 3 (x-2) = 2 (x+1) as an equation

A) In one variable.

B) In two variables.

17. Find the value of 3992

- 3982​

Answer 1

2 + 142x − 120

x3 -23x2 + 142x -120.

.. X3 - x2- 22x2+22x+120x-120 x2 (x-1) -22x(x-1) +120 (x-1)

Answer 2

Answer:

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