Q1. If the area of a rectangle is 24 m2 and
its perimeter is 20 m, the equation to find its length and breadth would be:
x2 -
10x + 24 = 0
x2 +
12x + 24 = 0
x2 -
10x - 24 = 0
x2 +
10x + 28 = 0
Q2. Solve the following quadratic equation by the
factorisation method: x2 + 2√2x - 6 = 0
x
= 3√2, √2
x
= −3√2, √2
x
= 3√2, −√2
x
= −3√2, −√2
Q3. If 8 is a root of the equation x2 - 10x +
k = 0, then the value of k is:
2
8
-8
16
Q4. Find the solution of the quadratic equation by the
formula method. x2 + 7x + 12 = 0
x
= 4 or −3
x
= 4 or 3
x
= −4 or −3
x
= −4 or 3
Q5. Ruhi’s mother is 26 years older than her. The product of
their ages (in years) 3 years from now will be 360. Form a Quadratic equation
so as to find Ruhi’s age
x 2 +
32 x + 273 = 0
x 2 -
32 x + 273 = 0
x 2 +
32 x – 273 = 0
x 2 -32
x - 273=0
Q6. The positive value of k, for which both equations: x2 +
kx + 64 = 0 and x2 - 8x + k = 0 have real roots is________
k = 16
k = -16
k ≥ 16
k ≤ 16
Q7. The sum of the ages of two friends is 20 years. Four
years ago, the product of their ages in years was 48. Their present ages are
2
and 18
6
and 14
10
and 10
The
situation is not possible
Q8. Reduction of a rupee in the price of onion makes the
possibility of buying one more kg of onion for Rs.56. Find the original price
of the onion per kg?
1
7,-8
8
7
Q9. The roots of quadratic equation x2 – 9 =
0 are
±
4
±
3
±
9
±
6
Q10. If the value of the Discriminant function of a quadratic
equation is D = 27, then its roots are
Distinct,
Rational
Distinct,
Irrational
Same,
Rational
Same,
Irrational
Q11. If x = 1 is a common root of the equation x2 + ax - 3 = 0 and bx2 - 7x +
2 = 0 then ab =
10
7
6
-3
Q12. Zeroes of the quadratic polynomial ax2 +
bx + c and roots of the quadratic equation ax2 + bx + c = 0 are
__________
Same
Different
Either same or different
Equal to zero
Q13. The solutions of the equation: x2 + 2x -
143 = 0
-13, 11
-13, -11
11, 13
-11, 13
Q14. Solve the quadratic equation by the formula method. x2 +
x - 2 = 0
x
= −2 or 1
x
= 2 or 1
x
= 2 or −1
x
= −2 or −1
Q15. Divide 16 into two parts such that twice the square of
the larger part exceeds the square of the smaller part by 164.
12
and 4
14
and 2
11
and 5
10
and 6
Q16. If I had walked 1 km/hr faster, I would have taken
15 minutes less to walk 3 km. Find the rate at which I was walking.
-4
3
Could be
either 3 or -4
Neither
Q17. Solve the quadratic equation by the formula method. x2 +
2x - 3 = 0
x
= −3 or 1
x
= 3 or 1
x
= 2 or −1
x
= −3 or −1
Q18. What are the two consecutive even integers whose squares
have sum 340?
12
and 10
12
and 14
–12
and –14
Both (-14,
-12) and (12, 14)
Q19. The roots of x2 - 8x + 12 = 0, are
real
and equal
real
and unequal
no
real roots
x
= 0
Q20. For the quadratic equation, x2 - 3x + 2
=0, which of the following is a solution?
x
= -3
x
= 3
x
= 2
x
= -2
Q21. If x = 2 is a root of equation x2 + 3x -
k = 0 then value of k is
7
8
10
12
Q22. If x = 1 is a root of equation x2 - Kx +
5 = 0 then value of K is
5
6
-6
4
Q23. Write the general form of a quadratic polynomial.
ax2 +
bx + c where a, b and c are real numbers and a is not equal to zero.
ax2 +
bx + c where a, b and c are real numbers
ax2 +
bx + c or bx + ax2+ c or c+ bx + ax2
ax2 +
bx + c=0
Q24. Solve the below equation by the factorisation method: x2 -
9x + 20 = 0
x
= -4 or x = -5
x
= 4 or x = 5
x
= 4 or x = -5
x
= -4 or x = 5
Q25. The sum of the areas of two squares is 468 m2.
If the difference of their perimeters is 24 m, then the sides of the two
squares are:
12
m and 18 m
6
m and 12 m
18
m and 24 m
24
m and 28 m
Q26. The sum of areas of two squares is 468 m2. If
the difference of their perimeters is 24 m, then the sides of the two squares
are:
12
m and 18 m
6
m and 12 m
18
m and 24 m
24
m and 28 m
Q27. If the length of the rectangle is one more than the
twice its width, and the area of the rectangle is 300 square meter. What is the
measure of the width of the rectangle?
12
25
24
-25
Q28. Which of the following statement is TRUE?
A
quadratic equation in variable x is of the form ax2 + bx + c =
0, where a, b, c are real numbers a ≠ o.
A
real number R is said to be a root of the quadratic equation ax2 +
bx + c = 0 if a(R)2 + bR + c = 0.
If
we can factorise ax2 + bx + c, a ≠ 0 into product of two linear
factors then roots can be found by equating each factor to zero.
All
the above
Q29. The roots of quadratic equation are 2x2 +
3x - 9 = 0 are:
1.5
and -3
-1.5
and 3
-1.5
and -3
1.5
and 3
Q30. The value of q if x = 2 is a solution of 8x2
+ qx - 4 = 0 is _____
-
14
14
28
-
28
Q31. The solution of (x +2 )2 = 25 is
3,-7
-3,-7
3, 7
-3, 7
Q32. Solve the quadratic equation by the completing the
square method. x2 + x - 6 = 0
x
= −3 or −2
x
= 3 or 2
x
= 3 or −2
x
= −3 or 2
Q33. The perfect square binomial obtained by adding a
constant to the expression : x2 – 18x is
(x + 9) 2
(x – 9) 2
(x + 3)2
(x – 3)2
Q34. Which of the following is a solution of the
quadratic equation x2 + 2x - 8 = 0?
4,
- 2
4,
2
-
4, 2
-4,
-2
Q35. Which of the following in not a quadratic equation?
(x
- 2)2 + 1 = 2x - 3
x(x
+ 1) + 8 = (x + 2) (x - 2)
x(2x
+ 3) = x2 + 1
(x
+ 2)2 = 5x2 - 4
Q36. If x=1 is a common root of the equation ax2+ax+3=0
and x2 + x+b=0 then ab =?
3
3.5
6
-3
Q37. Find the two consecutive odd positive integers, sum of
whose square is 290.
11,
13
13,
15
9,
11
15,
17
Q38. If ax2 + bx + c, a ≠ 0 is factorable
into product of two linear factors, then roots of ax2 + bx
+ c = 0 can be found by equating each factor to
0
1
-1
2
Q39. (2x - y)2 =
2x2 -
4xy + y2
4x2 -
2xy + y2
4x2 +
4xy + y2
4x2 -
4xy + y2
Q40. The sum of the ages of two friends is 20 years.
Four years ago, the product of their ages in years was 48. Find their present
ages.
2
and 18
6
and 14
10
and 10
The
situation is not possi
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