Home
Class 12
MATHS
The values of a for which the equation s...

The values of a for which the equation `sqrtasinx-2cosx=sqrt2+sqrt(2-a)` has solutions are

A

`p gt 0`

B

`p le 3`

C

`1 le p le 2`

D

`sqrt(5)-1 le p le 2`

Text Solution

Verified by Experts

The correct Answer is:
D
We must have `0 le p le 2`
Also `sqrt(2)+sqrt(2-p)le sqrt(p + 4)`
`rArr 2sqrt(4-2p)le 2p`
`rArr 4-2p le p^(2)`
`rArr p^(2)+2p-4le 0`
`rArr p in [sqrt(5)-1,2]`
Promotional Banner

Similar Questions

Explore conceptually related problems

Number of integral value(s) of m for which the equation sinx-sqrt(3)cosx=(4m-6)/(4-m) has solutions, x in [0,2pi] , is ________

The value of a for which the equation 2x^(2)+2 sqrt(6)x+a=0 has equal roots, is

Solve the equation (sqrt(3))/2sinx-cosx=cos^2x

The value of x satisfying the equation x=sqrt(2+sqrt(2-sqrt(2+x))) is

Find the values of p so that the equation 2cos^2x-(p+3)cosx+2(p-1)=0 has a real solution.

Determine the smallest positive value of x which satisfy the equation sqrt(1+sin2x)-sqrt(2)cos3x=0

Solve the equation sqrt3cos x + sin x = sqrt2 .

Find the values of x for which expression sqrt(1-sqrt(1-sqrt(1-x^(2)))) is meaningful.

Sum of the valus of x satisfying the equation sqrt(2x+sqrt(2x+4))=4 is ______.

Find the values of a if equation 1-cosx=(sqrt(3))/2|x|+ a ,x in (0,pi), has exactly one solution.