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Quadratic Equations Class 10 Multiple Choice Test

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Quadratic Equations Class 10 (100401)

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1 / 10

If ax2 + bx + c = 0 has equal roots, then c is equal to:

(a) \(-\frac{b}{2a}\)

(b) \(\frac{b}{2a}\)

(c) \(-\frac{b^2}{4a}\)

(d) \(\frac{b^2}{4a}\)

2 / 10

If x = 1 is a common root of the equations ax2 + ax + 3 = 0 and x2 + x + b = 0, then ab is equal to:

(a) 3

(b) 3.5

(c) 6

(d) – 3 

3 / 10

Which of the following is a quadratic equation?  

(a) \(x^2+2x+1=(4-x)^2+3\)

(b) \(-2x^2=(5-x)(2x-\frac{2}{5})\)

(c) \((k+1)x^2+\frac{3}{2}x=7\), where k=−1

(d) \(x^3-x^2=(x-1)^3\)

4 / 10

If x = 2 is a root of the equation 3x2 – 2kx + 5 = 0, then k is equal to:

(a) \(\frac{4}{17}\)

(b) \(\frac{17}{4}\)

(c) \(\frac{1}{17}\)

(d) \(\frac{1}{4}\)

5 / 10

If the equation x2 + 4x + k = 0 has real and distinct roots, then:

(a) k < 4

(b)  k > 4  

(c) k > 4 

(d)  k < 4

6 / 10

If ½ is a root of the equation \(x^2+kx-\frac{5}{4}=0\), then the value of k is: 

(a) 2

(b)  – 2

(c) \(\frac{1}{4}\)

(d) \(\frac{1}{2}\)

7 / 10

Which of the following is a root of the equation 2x2 – 5x – 3 = 0?  

(a) x = 3

(b) x = 4

(c) x = 1

(d) x = –3 

8 / 10

If the equation (a²+b²)x²−2(ac+bd)x+c²+d²=0 has equal roots, then:

(a) ad = cd

(b)  ad = bc

(c) \(ad=\sqrt{bc}\)

(d) \(ab=\sqrt{cd}\)  

9 / 10

For what value of k, x = 2 is a solution of kx2 + 2x – 3 = 0?

(a) \(k=-\frac{1}{2}\)

(b) \(k=\frac{1}{2}\)

(c) \(k=-\frac{1}{4}\)

(d) \(k=\frac{1}{4}\)

10 / 10

The roots of the equation ax²+x+b=0 are equal, if:

(a) b²=4a

(b) b²<4a

(c) b²>4a

(d) ab=¼

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