(C) The curve $y = x^2 + ax + 25$ touches the $x-$axis,which means the quadratic equation $x^2 + ax + 25 = 0$ has equal roots.For equal roots,the disc

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(C) The curve $y = x^2 + ax + 25$ touches the $x-$axis,which means the quadratic equation $x^2 + ax + 25 = 0$ has equal roots.For equal roots,the discriminant $D$ must be zero.$D = b^2 - 4ac = 0$Substituting the values $a=1, b=a, c=25$:$a^2 - 4(1)(25) = 0$$a^2 - 100 = 0$$a^2 = 100$$a = \pm 10$

Class 11 Mathematics 4-2.Quadratic Equations and Inequations Solution of quadratic equations and Nature of roots

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For what value of $a$ does the curve $y = x^2 + ax + 25$ touch the $x-$axis?

A
$0$
B
$\pm 5$
C
$\pm 10$
D
None of these

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4-2.Quadratic Equations and Inequations

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Solution of quadratic equations and Nature of roots

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For what value of $a$ does the curve $y = x^2 + ax + 25$ touch the $x-$axis?

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