Home
Class 12
MATHS
6. Let f(x) x2 (1 3m) x (3m- 2) has two ...

6. Let f(x) x2 (1 3m) x (3m- 2) has two real roots x1 and x2. Also denotes the value of m for which (x 2 x 2) is minimum which e following is/are correct (A) Value of lies in -1 B) Minimum value of x,2 xa2 is 5 far m e R umber of roots of sin in [0, 2T) are 3 (D) Maximum value of x12 x22 is 5 for m e R 7. Which of the following expre have the maximum vatteastmity?

Promotional Banner

Similar Questions

Explore conceptually related problems

For m in R, let f(x) =x^(3)+3mx^(2)-3x-3m+2"has 3 real roots" x_(1),x_(2)and x_(3). Also k denotes the value of m for which (x_(1)^(2)+x_(2)^(2)+x_(3)^(2)) is minimum. Which of the following statements (s) is/are correct ?

For m in R, f(x) =x^(3)+3mx^(2)-3x-3m+2"has 3 real roots" x_(1),x_(2)and x_(3). Also k denotes the value of m for which (x_(1)^(2)+x_(2)^(2)+x_(3)^(2)) is minimum. Which of the following statements (s) is/are correct ?

IF x is real, find the least value of 2x^2-3x+5 and the value of x for which the expression is minimum.

The value of m for which the equation x^(2)-x+m^(2)=0 has no real roots is given as

Find the values of m for which the following equations have equal roots ? (3m+1)x^(2)+2(m+1)x+m=0

Let x^2-(m-3)x+m=0 (m epsilon R) be a quadratic equation . Find the values of m for which exactly one root lies in the interval (1,2)

Find all the value of m for which the equation sin^(2)x-(m-3)sin x+m=0 has real roots.

The equation x^(2)+2(m-1)x+(m+5)=0 has real and equal roots. Find the value of m.