Home
Class 12
PHYSICS
In quadratic equation ax^(2)+bx+c=0, if ...

In quadratic equation `ax^(2)+bx+c=0`, if discriminant `D=b^(2)-4ac`, then roots of quadratic equation are:

A

`1/5`

B

`2/5`

C

`4/5`

D

`3/5`

Text Solution

Verified by Experts

The correct Answer is:
C
For maximum/ minimum value `(dy)/(dx)=0rArr 5(2x)-2(1)+0=0rArr x=1/5`
Now at `x=1/5, (d^(2)y)/(dx^(2))=10` which is positive so minima at `x=1/5`
Therefore `y_("min")=5(1/5)^(2)-2(1/5)+1=4/5`
Promotional Banner

Topper's Solved these Questions

Similar Questions

Explore conceptually related problems

The quadratic equation ax^(2)+bx+c=0 has real roots if:

Assertion (A), The equation x^(2)+ 2|x|+3=0 has no real root. Reason (R): In a quadratic equation ax^(2)+bx+c=0, a,b,c in R discriminant is less than zero then the equation has no real root.

Let alpha and beta be the roots of the quadratic equation ax^(2)+bx+c=0, c ne 0, then form the quadratic equation whose roots are (1-alpha)/(alpha) and (1-beta)/(beta) .

Let a,b,c,d be distinct real numbers and a and b are the roots of the quadratic equation x^2-2cx-5d=0 . If c and d are the roots of the quadratic equation x^2-2ax-5b=0 then find the numerical value of a+b+c+d .

Solve the quadratic equation 2x^2-4x+3=0 by using the general expressions for the roots of a quadratic equation.

If alpha, beta are the roots of the quadratic equation ax^(2) + bx + c = 0 then form the quadratic equation whose roots are palpha, pbeta where p is a real number.

The roots alpha and beta of the quadratic equation ax^(2)+bx+c=0 are and of opposite sing. The roots of the equation alpha(x-beta)^(2)+beta(x-alpha)^(2)=0 are