IIT JEE Main Mathematics Problems and Solutions
(Part - 2)

Problem 1 :

x² + |2x – 3| - 4 = 0

Find the sum of the squares of all the roots of the equation above.

A)  3(3 - √2)

B)  6(3 - √2)

C)  6(2 - √2)

D)  3(2 - √2)

Solution :

Problem 2 :

(x² – 9x + 11)² – (x – 4)(x – 5) = 3

Find the product of all the rational roots of the equation above.

A)  14

B)  21

C)  28

D)  7

Solution :

Problem 3 :

If the equation a(b – c)x² + b(c – a)x + c(a – b) = 0 has equal roots, where a + c = 15 and b = 36/5, then what is the value of a² + b²?

Solution :

Problem 4 :

Let α and β be the distinct roots of 2x² + (cos θ)x -1 = 0, θ ϵ (0, 2π). If m and M are the minimum and maximum values of α⁴ + β⁴, then 16(M + m) is equal to

A)  24

B)  25

C)  17

D)  27

Solution :

Problem 5 :

log_{(x + 1)}(2x² + 7x + 5) +  log_{(2x + 5)}(x + 1)² – 4 = 0

Find the number of solutions of the equation above, where x > 0.

Solution :

You might like these

IIT JEE Main Math Problems and Solutions (Part - 1)

IIT JEE Main Math Problems and Solutions (Part - 2)

Kindly mail your feedback to v4formath@gmail.com

We always appreciate your feedback.