QUADRATIC EQUATION FACTOR MCQ SET 1
1. If ฮฑ and ฮฒ are roots of the equation xยฒ – x + 1 = 0 , then write the value of ฮฑยฒ + ฮฒยฒ .
(a) 1
(b) -1
(c) 0
(d) None of these
Answer: B
2. One root of quadratic equation xยฒ – kx + 27 = 0 is 3 , then find the value of ‘k’ .
(a) 10
(b) 12
(c) -12
(d) 16
Answer: B
3. Find the value of k if one root of the equation : xยฒ – 9x + k = 0 is twice the other root .
(a) 18
(b) 16
(c) 12ย
(d) 9
Answer: A
4. Find the value of k so that the sum of the roots of equation 3xยฒ + (2k + 1) x – k – 5 = 0 is equal to the product of the roots :
(a) 4
(b) -4
(c) 2
(d) 8
Answer: A
5. If sum of the roots of a quadratic equation is 1 and product of the the roots is -20 . Find the quadratic equations .
(a) xยฒ – x – 20 = 0
(b) xยฒ + x + 20 = 0
(c) xยฒ + x – 20 = 0
(d) xยฒ – x + 20 = 0
Answer: A
6. Which of the following quadratic equation has roots -3 and -5 .
(a) xยฒ – 8x + 15 = 0
(b) xยฒ – 8x – 15 = 0
(c) xยฒ + 8x + 15 = 0
(d) xยฒ + 8x – 15 = 0
Answer: C
7. If ฮฑ and ฮฒ are the roots of equation xยฒ – x + 1 = 0 , then which equation will have roots ฮฑยณย and ฮฒยณย .
(a) xยฒ + 2x + 1 = 0
(b) xยฒ – 2x + 1 = 0
(c) xยฒ + 3x + 1 = 0
(d) xยฒ – 3x + 1 = 0
ย Answer: A
8. If ฮฑ and ฮฒ are the roots of the equation xยฒ – 3x + 2 = 0 , then the quadratic equation whose roots are (ฮฑ + 1) and (ฮฒ + 1) is .
(a) xยฒ – 5x + 6 = 0
(b) xยฒ + 5x – 6 = 0
(c) xยฒ + 5x + 6 = 0
(d) xยฒ – 5x – 6 = 0
Answer: A
9. When (x^4 – 3xยณ + 2xยฒ – 5x + 7) is divided by (x – 2) , the remainder is –
(a) 3
(b) -3
(c) 2
(d) 0
Answer: B
10. When f(x) = 15xยณ – 14xยฒ – 4x + 10 is divided by (3x + 2) , then the remainder is :
(a) -1
(b) 1
(c) -2
(d) 2
Answer: D
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