Home
Class 12
MATHS
The set of values of a for which x^2+ax+...

The set of values of a for which `x^2+ax+sin^-1 (x^2-4x+5) +cos^-1 )(x^2-4x+5)=0` has at least one solution is (A) `(-oo, -sqrt(2pi)] cup[sqrt[(2pi, oo]` (B) `(-oo, -sqrt(2pi)] cup[sqrt((2pi, oo)` (C) R (D) none of these

A

`(-oo,-sqrt(2)pi] cup [sqrt(2pi), oo)`

B

`(-oo, -sqrt(2pi)) cup (sqrt(2pi), oo)`

C

R

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Let f:R rarr(0,(pi)/(2)) be a function defined by f(x)=cot^(-1)(x^(2)+4x+alpha^(2)-alpha), complete set of valuesof alpha for which f(x) is onto,is (A) [(1-sqrt(17))/(2),(1+sqrt(17))/(2)] (B) (-oo,(1-sqrt(17))/(2)]uu[(1+sqrt(17))/(2),oo)(C)((1-sqrt(17))/(2),(1+sqrt(17))/(2))( D) none of these

A solution of sin^-1 (1) -sin^-1 (sqrt(3)/x^2)- pi/6 =0 is (A) x=-sqrt(2) (B) x=sqrt(2) (C) x=2 (D) x= 1/sqrt(2)

For the equation cos^(-1)x+cos^(-1)2x+pi=0 ,the number of real solution is (A)1(B) 2 (C) 0 (D) oo

If |x-2| (A) x in R , (B) x in[0,oo)] , (C) x in(-oo,(4-sqrt(2))/(2)]uu[(5)/(2),oo), (D) x in(-oo,(4-sqrt(2))/(2)]uu[(5+sqrt(3))/(2),oo]

The solution for x of the equation int_(sqrt(2))^(x)(dt)/(sqrt(t^(2)-1))=(pi)/(2) is pi(b)(sqrt(3))/(2) (c) 2sqrt(2) (d) none of these

Set of value of m for which a chord of slope m of the circle x^(2)+y^(2)=4 touches parabola y^(2)=4x is (A)(-oo,-sqrt((sqrt(2)-1)/(2))]uu[sqrt((sqrt(2)-1)/(2)),oo)(B)(-oo,-1)uu(1,oo)(C)(-1,1)(D)(-oo,oo)

Let f(x) = (x^2 - 4)/(x^2 + 4) , for |x| > 2 , then the function f: (-oo , -2] cup [2, oo) to (-1,1) is :

sin^(-1)(sin5)>x^(2)-4x hold if (a)x=2-sqrt(9-2 pi)(b)x=2+sqrt(9-2 pi)(c)x>2+sqrt(9-2 pi)(d)x in(2-sqrt(9-2 pi),2+sqrt(9-2 pi))

The set of all real numbers x for which x^2-|x+2|+x >0 is (a)(-oo,-2)uu(2,oo) (b) (-oo,-sqrt(2))uu(sqrt(2),oo) (c)(-oo,-1)uu(1,oo) (d) (sqrt(2),oo)

The set of all real numbers x for which x^(2)-|x+2|+x>0 is (-oo,-2) b.(-oo,-sqrt(2))uu(sqrt(2),oo) c.(-oo,-1)uu(1,oo) d.(sqrt(2),oo)