For the given graphs of quadratic equations $p, q, r, s$ , select the quadratic equations for which the coefficient of leading term is negative.

q

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

s

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

r

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

p

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

Open in App

Solution

The correct option is D $p$
For any function $y = a x^{2} + b x + c$
The graph will be an upward opening parabola for $a > 0$ and will be a downward opening parabola for $a < 0.$
Thus, from the graph shown, the graphs of quadratic equation $p & s$ will have the sign of leading coefficient as negative.

Suggest Corrections

Similar questions

Q. If the coefficient of x² and the constant term of a quadratic equation have the same sign and if the coefficient of x term is zero, then the quadratic equation has ________ roots.

Let P, Q, R, S and T are five sets about the quadratic equation

(a – 5) $x^{2}$ – 2ax + (a – 4) = 0, a $\neq$ 5 such that

P : All values of ‘a’ for which the product of roots of given quadratic equation is positive.

Q : All values of ‘a’ for which the product of roots of given quadratic equation is negative.

R : All values of ‘a’ for which the product of real roots of given quadratic equation is positive.

S : All values of ‘a’ for which the roots of given quadratic are real.

T : All values of ‘a’ for which the given quadratic equation has complex roots.

Which statement is correct regarding sets, P, Q and R ?

Q. For any quadratic equation

y = a x^{2} + b x + c .

Select the possible graphs for which

a > 0.

Let P, Q, R, S and T are five sets about the quadratic equation
(a – 5) $x^{2}$ – 2ax + (a – 4) = 0, a $\neq$ 5 such that
P : All values of ‘a’ for which the product of roots of given quadratic equation is positive.
Q : All values of ‘a’ for which the product of roots of given quadratic equation is negative.
R : All values of ‘a’ for which the product of real roots of given quadratic equation is positive.
S : All values of ‘a’ for which the roots of given quadratic are real.
T : All values of ‘a’ for which the given quadratic equation has complex roots.

Q. The number of quadratic equations (consider leading coefficient as

1

) with real roots which remain unchanged when their roots are squared, is

Join BYJU'S Learning Program

For the given graphs of quadratic equations p,q,r,s, select the quadratic equations for which the coefficient of leading term is negative.

The correct option is D p For any function y=ax2+bx+c The graph will be an upward opening parabola for a>0 and will be a downward opening parabola for a<0. Thus, from the graph shown, the graphs of quadratic equation p & s will have the sign of leading coefficient as negative.

For the given graphs of quadratic equations $p, q, r, s$ , select the quadratic equations for which the coefficient of leading term is negative.