If 2x = sqrta + (1)/( sqrta) , a gt 0 t...

If `2x = sqrta + (1)/( sqrta) , a gt 0` then the volume of `(sqrt (x ^(2) -1 ))/( x - sqrt (x ^(2) -1))`

A

`1/2 (a-1)`

B

`a-1`

C

`a+1`

D

`1/2 (a+1)`

Text Solution

Verified by Experts

Topper's Solved these Questions

2013 TIER-II PAPER(21)
CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
2014 TIER-II PAPER(19)
CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If 2x = sqrt(a) - (1)/(sqrt(a)) , then the value of (sqrt(x^(2) + 1))/(x + sqrt(x^(2) +1)) is

a+1=2sqrt(a)x then (sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))=

If x=(1)/(2)(sqrt(a)+(1)/(sqrt(a))) , then show that (sqrt(x^(2)-1))/(x-sqrt(x^(2)-1))=(a-1)/(2) .

If x = (4 sqrt(ab))/(sqrt a + sqrt b) , then what is the value of (x + 2sqrt a)/(x - 2 sqrta) + (x + 2 sqrtb)/(x - 2 sqrt b) " (when " a ne b) ?

If x=sqrta+(1)/(sqrta), y=sqrta-(1)/(sqrta) then the value of x^(4)+y^(4)-2x^(2)y^(2) is

CHAMPION PUBLICATION-2014 TIER-II PAPER(18)-EXERCISE

The volume of a metallic cylindrical pipe is 7480 cm^3. If its length ...
Text Solution
|
A cylindrical vessel of diameter 24 cm contains some water. If two sp...
Text Solution
|
If 2x = sqrta + (1)/( sqrta) , a gt 0 then the volume of (sqrt (x ^(2...
Text Solution
|
If a,b, c are real and a^(2) + b ^(2) + c ^(2) = 2 (a - b - c) -3, the...
Text Solution
|
If (a)/(b+c)=(b)/(c+a)=(c)/(a+b) and a+b+cne0 then the value of (b)/(a...
Text Solution
|
If a = 2 + sqrt3, then the value of (a ^(6) + a ^(4) + a ^(2) + 1)/(a ...
Text Solution
|
If x = sqrt5 + sqrt3 and y = sqrt5 - sqrt3, then the value of x ^(4) -...
Text Solution
|
If x + y + z = 6 then the value of ( x - 1) ^(3) + ( y - 2) ^(3) +...
Text Solution
|
If bc + ab + ca = ab,c then the above of (b +c)/( bc (a - 1)) + (a + ...
Text Solution
|
The graph of 3 x + 4y - 24 = 0 forms a triangle OAB with the coor...
Text Solution
|
If (a ^(2) - b c)/( a ^(2 ) + bc)+ (b ^(2) -ca)/( b ^(2) + ca) + (c ^(...
Text Solution
|
If p^(4) = 119 - (1)/( p^(4)) then the value of p^(3) - (1)/( p^(3))...
Text Solution
|
The sum of the internal angles of a regular polygon is 1440^(@). The n...
Text Solution
|
ABCD is a regular trapezium in which AD || BC Diagonal AC and BD inter...
Text Solution
|
The distance between the centres of two circles having radii 8 cm and ...
Text Solution
|
Chords PQ and RS of a circle, when produced, meet at a point O. If PQ ...
Text Solution
|
The point of intersection for the diagonals AC and BD of the cyclic qu...
Text Solution
|
Three circles of radius 6 cm touches each other externally. Then the d...
Text Solution
|
In Delta ABC, AB = AC, O is a point on BC such that BO = CO and OD is ...
Text Solution
|
In an isosceles triangle, if the unequal angle is twice the sum of the...
Text Solution
|