Question

Prove that 2 + √5 is an irrational number.
14. Write the general form of the following:

1. Linear polynomial 2. Cubic polynomial

15. If ! "# $ are the zero of the quadratic polynomial =
− 4
+ 3 find the value of


16. Divide the polynomial
= 3
−
− 3
+ 5 by the polynomial g
=
−
+ 1 find the

Quotient and Remainder.

IV. Answer the following : 6× & = -

'

17. Find the area of the triangle whose vertices are A (3, 2), B (11, 8) C (8, 12)

18. Determine the ratio in which the line 3
+ − 9 = 0 divides the segment joining the points (1, 3)

and (2, 7)

19. Prove that √5 is an irrational number.

20. Prove that √2 + √5 is an irrational number.

21. Find the zeros of the polynomial
=
− 5
− 2
+ 24 if it is given that the product of two

zeros is 12

22. Find all the zeros of the polynomial


% +
− 34
− 4
+ 120, if two of its zeros are 2 and -2

V. Answer the following : × * = '

23. If A and B are (-2, -2) and (2, -4) respectively find the co-ordinates of P such that =

+

and P

lies on the line segment AB.

24. If ! "#$ are the zeros of the quadratic polynomial
,
+ 4
+ 4 such that !

+ $ = 24

find the value of K

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Answer 1

Answer:

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