Quadratic Equation (One Variable)

Study Material (PDF)
Self Assesment
Study Material (PDF)
Self Assesment

Click on each question to see answer & solution.

Question No: #1

........ is the highest power of the variable in a quadratic equation.

Question No: #2

For which value of `a`, the equation `(a-2)x^2+3x+5=0` will not be a quadratic equation ?

Question No: #3

One of the roots of the equation `ax^2+bx+c=0` will be zero (`0`), when -
(a) `a=0`, (b) `b=0`, (c) `c=0`, (d) none of these
Ans: (c) `c=0`
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Question No: #4

The equation `2(x^2+3x-2)=2x^2+x-9` is - (a) Liner, (b) Quadric, (c) Cubic, (d) None of these

Question No: #5

If one of the roots of the quadratic equation `kx^2+2x-3=0` is 2, then the value of `k` is - (a) `- 3/2` , (b) `1/2`, (c) `- 1/4`, (d) `1/4`

Question No: #6

Find the quadratic equation whose roots are `3` and `4`.
Ans: `x^2-7x+12=0`
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Question No: #7

i) If the roots of the equation are `2, -3`, then write its quadratic equation.
ii) If the roots of the equation are `4\pm\sqrt{3}`, then write its quadratic equation.

Question No: #8

If the roots of the equation `ax^2+bx+35=0` are `-5` and `-7`, then find the value of `a` and `b`.
Ans: `a = 1, b = 12`
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Question No: #9

i) Number of roots of the equation `x^2=x` is - (a) 0, (b) 1, (c) 2, (d) 3
ii) Number of roots of the equation `x^2/x=5` is - (a) 0, (b) 1, (c) 2, (d) 3

Question No: #10

The roots of the quadratic equation `1/a x^2 - (b+c)x + abc = 0` (`a\ne0`) are - (a) `b,c`, (b) `b/a, c/a`, (c) `ab, ac`, (d) `a, bc`