Question

QUADRATIC EQUATIONS
(a) *14--2 (b) b = 0,4 = 1
(b) 7
(d) 12
(a) 10
(a) ad = ke
pand q are the roots of the equation -x + y = 0, then
(c) p=-2,4 = 0 (d) p= -2,4 = 1
1 x and b can take values 1, 2, 3, 4. Then the number of the equations of the form
+hx+1=0 having real roots is
(c) 6
is the number of quadratic equations having real roots and which do not change by
squaring their roots is
(b) 3
(c) 2
(d) 1
164 (+)r +2 (ab + bd) x + 2 + = 0 has no real roots, then
(b) ab = cd (c) ac = bd (d) ad bc
11. 11 the sum of the roots of the equation r? - 3 = 1. (2x – 1) is zero, then 3 =
(a) -2
(b) 2
(c)
(d)
11
2
2.
16. x = 1 is a common root of ar? + ax + 2 = 0 and + + 2+ b =0 then, ab =
(a) 1
(b) 2.
(c) 4
(d) 3
19. The value of c for which the equation ax? + 25x + c = 0 has equal roots is
b2
(a)
(b)
(c) 2 / 를
2. FP+(4x + k-1) + 2 = 0 has equal roots, then k =
3 1
3 1
(b)
12 / 를
23
21. If the sum and product of the roots of the equation for? +62 + 4x = 0 are equal, then ke
3
la)
(b)
(c)
22. I sin a and cos a are the roots of the equation ar+bx+c = 0, then =
(a) ozac
(b) q2 + 2ac (c) 2-ac
(d) 7+
2. 12 is a root of the equation r* + ax + 12 = 0 and the quadratic equation + - = 0
has equal roots, theng =
la) 12
(b) 8
(c) 20
(d) 16
21. If the sum of the roots of the equation -(k+6)x+ 2(22 - 1) = 0 is equal to half of
their product, then k =
ta) 6
(b) 7
(c) 1
(d) 5
2 Waand bare roots of the equation ? +ar+b = 0, then a + b =
(c) -
2. A quadratic equation whose one root is 2 and the sum of whose roots is zero, is
(w) x +4-0
(b) -40
(c) 23
2
3
2.
2
3
2
3
(b) 2
(c) er? -1 = 0 td) 3-2-6​

Answer 1

Answer:

1. (b)
2. (c
3. (a)
4. (c)
5. (c)
6. (b)
7. (b)
8. (a)
9. (d)
10. (a)
11. (c)
12. (c)
13. (w)
14. (c)