The values of ' $a$ ' for which $y = x^{2} + a x + 25$ touches $x$ -axis are

\pm 10

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

\pm 2

No worries! We‘ve got your back. Try BYJU‘S free classes today!

\pm 1

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is D $\pm 10$
$y^{'} = 0$
$y^{''} = 2 x + a = 0$
$y = (x + 5)^{2}$ at $a = 10$

Suggest Corrections

Similar questions

Q. The value of 'a' for which y = x² + ax + 25 touches the axis of x are ______________.

Q. For what value of

a

, the curve

y = x^{2} + a x + 25

touches the

x

-axis

A given circle $x^{2} + y^{2} + 2 g x + 2 f y + c = 0$ touches the x-axis and intersects the y-axis at 2 points. How many values of x are possible for y = 0.

A circle of radius ‘5’ touches the coordinate axes in the first quadrant. If the circle makes one complete roll on x-axis along the positive direction, then its equation in new position is

Q. The locus of the centre of circle which touches

(y - 1)^{2} + x^{2} = 1

externally and also touches x-axis, is

Join BYJU'S Learning Program

The values of 'a' for which y=x2+ax+25 touches x-axis are

The correct option is D ±10y′=0y′′=2x+a=0y=(x+5)2 at a=10

The values of ' $a$ ' for which $y = x^{2} + a x + 25$ touches $x$ -axis are

The correct option is D $\pm 10$
$y^{'} = 0$
$y^{''} = 2 x + a = 0$
$y = (x + 5)^{2}$ at $a = 10$