If px 2-5 x -2-0 and 3 x 2-10 x - q -0 have both roots in common- then A- p -4B- q-3-2C- p-3-2D- q-4

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Standard XIII

Mathematics

Common Roots

If px 2+5 x +...

Question

If $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ have both roots in common, then

p = 4

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q = \frac{3}{2}

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p = \frac{3}{2}

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q = 4

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Solution

The correct options are
C $p = \frac{3}{2}$
D $q = 4$
Comparing both the equation $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ , we get

$\frac{p}{3} = \frac{5}{10} = \frac{2}{q} \Rightarrow p = \frac{3}{2}, q = 4$

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Common Roots

Standard XIII Mathematics

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If px2+5x+2=0 and 3x2+10x+q=0 have both roots in common, then

The correct options are C p=32 D q=4Comparing both the equation px2+5x+2=0 and 3x2+10x+q=0, we get p3=510=2q⇒p=32, q=4

If $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ have both roots in common, then

The correct options are
C $p = \frac{3}{2}$
D $q = 4$
Comparing both the equation $p x^{2} + 5 x + 2 = 0$ and $3 x^{2} + 10 x + q = 0$ , we get

$\frac{p}{3} = \frac{5}{10} = \frac{2}{q} \Rightarrow p = \frac{3}{2}, q = 4$