Home
Class 11
MATHS
Let lambda in {-2 -1.0, 1, 2} then proba...

Let `lambda in {-2 -1.0, 1, 2}` then probability that the equation `| x^2 +3x | + lambda-lambda x= 0` possesses exactly three solutions, given that it possesses atleast 2 solution is `a/b(a and b` are co-primes`)`, then value of `a + b` is

Promotional Banner

Similar Questions

Explore conceptually related problems

Let lambda in{-2-1.0,1,2} then probability that the equation |x^(2)+3x|+lambda-lambda x=0 possesses exactly three solutions,given that it possesses atleast 2 solution is (a)/(b)(a and b are co-primes),then value of a+b is

If the equation |x^(2)-5x+6|-lambda x+7 lambda=0 has exactly 3 distinct solutions then lambda is equal to

If the equation 2 cos x + cos 2 lambda x=3 has only one solution , then lambda is

The equation cos^(4)x-(lambda+2)cos^(2)x-(lambda+3)=0 have a real solution if

If the roots of the equation x^(2)+3x+2=0 and x^(2)-x+lambda=0 are in the same ratio then the value of lambda is given by

If the equation 3x^(2)+3y^(2)+6 lambda x+2 lambda=0 represents a circle,then the value of lambda. lies in

If the equation sin^(-1)(x^(2)+x+1)+cos^(-1)(lambda x+1)=(pi)/(2) has exactly two solutions,then the value of lambda is

If the equation x^2-b x+1=0 does not possess real roots, then -3 2 (d) b<-2

For all lambda in R , The equation ax^2+ (b - lambda)x + (a-b-lambda)= 0, a != 0 has real roots. Then

Number of integral values of lambda such that the equation cos^(-1)x+cot^(-1)x=lambda possesses solution is :