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

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

Question No: #2

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

Question No: #3

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: #4

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: #5

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`

Question No: #6

If the roots of the equation `9x^2+6x+a=0` are real and equal, then the valie of `a` is - (a) `- 2/3` , (b) `1/9` , (c) `1`, (d) `9`

Question No: #7

The roots of the equal are `3x^2-12x+10=0` - (a) irrational and unequal, (b) rational and equal, (c) real and unequal, (d) not real

Question No: #8

If the roots of the quadratic equation `px^2+pqrx+qr=0` are reciprocal to each other, then (a) `pqr=1`, (b) `q=pr`, (c) `qr=1`, (d) `p=qr`

Question No: #9

If the ratio of two roots of the equation `2x^2-5x+p=0` is `2:3`, then value of `p` is - (a) `2`, (b) `3`, (c) `4`, (d) `1/4`

Question No: #10

If the ratio of two roots of the equation `px^2+qx+r=0 (p\ne0)` is `m:n`, then the value of `\frac{mn}{(m+n)^2}` is - (a) `q^2/{pr}`, (b) `{pr}/q^2`, (c) `pqr`, (d) `{pq}/r^2`