Time Left - 20:00 mins

JEE Main || Algebra || Super Quiz 2

Attempt now to get your rank among 302 students!

Question 1

If x = – 1 and x = 2 are extreme points of f(x) = α log |x| + βx² + x, then

Question 2

The lines p(p² + 1) x – y + q = 0 and (p² + 1)²x + (p² + 1) y + 2q = 0 are perpendicular to a common line for

Question 3

The sum of the roots of the equation,

is:

Question 4

The equation

, where x is real, has:

Question 5

If α≠β and α²=5α-3, β²=5β-3 then the equation having α/β and β/α as its roots, is

Question 6

and

are the roots of the equation, ax² +bx+1=0, (a≠0, a,b∈R) then the equation, x(x+b³)+(a³- 3abx)=0 has roots :

Question 7

If, for a positive integer n, the quadratic equation,

has two consecutive integral solutions, then n is equal to:

Question 8

If one root of the equation x² + px + 12 = 0 is 4, while the equation x² + px + q = 0 has equal roots, then the value of ‘q’ is

Question 9

If the difference between the roots of the equation x² + ax + 1 = 0 is less than

, then the set of possible values of a is

Question 10

If the sum of the roots of the quadratic equation ax² + bx + c = 0 is equal to the sum of the squares of their reciprocals, then a/c , b/a and c/b are in

302 attempts
3 upvotes
4 comments

Tags :

Jun 26JEE & BITSAT