Home
Class 12
MATHS
If a and b are positive numbers such tha...

If a and b are positive numbers such that `a gt b`, then the minimum value of `a sec theta- b tan theta (0 lt theta lt pi/2)` is
a)`1/sqrt(a^2-b^2)` b)`1/sqrt(a^2+b^2)` c)`sqrt(a^2+b^2)` d)`sqrt(a^2-b^2)`

A

`1/sqrt(a^2-b^2)`

B

`1/sqrt(a^2+b^2)`

C

`sqrt(a^2+b^2)`

D

`sqrt(a^2-b^2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x=1-a sin theta, y=b cos ^2 theta at theta=pi/2

The value of "sin"(31)/(3)pi is a) (sqrt3)/(2) b) (1)/(sqrt2) c) (-sqrt3)/(2) d) (-1)/(sqrt2)

int_(0)^(2)[x^(2)]dx is :a) 2-sqrt(2) b) 2+sqrt(2) c) sqrt(2)-1 d) -sqrt(2)-sqrt(3)+5

If the line segment joining the points P (a,b) and Q(c,d) subtends an angle theta at the origin , then the value of costheta is a) (ab+cd)/(sqrt(a^(2)+b^(2))sqrt(c^(2)+d^(2))) b) (ab)/(sqrt(a^(2)+b^(2)))+(bd)/(sqrt(c^(2)+d^(2))) c) (ac+bd)/(sqrt(a^(2)+b^(2))sqrt(c^(2)+d^(2))) d) (ac-bd)/(sqrt(a^(2)+b^(2))sqrt(c^(2)+d^(2)))

The value of cos [ tan^-1 {sin (cot^-1 (x))}] is a) sqrt((x^2+1)/(x^2-1)) b) sqrt((1-x^2)/(x^2+2)) c) sqrt((1-x^2)/(1+x^2)) d) sqrt((x^2+1)/(x^2+2))

The minimum values of sin x + cos x is a) sqrt2 b) -sqrt2 c) (1)/(sqrt2) d) - (1)/(sqrt2)

If a cos theta+b sin theta=c , show that asin theta-bcos theta=pm sqrt((a)^(2)+(b)^(2)-(c)^(2))

If 0 lt theta lt (pi)/(2) and tan theta = (sqrt(5))/(2) then cos theta is equal to

If - pi/2 lt sin^-1 x lt pi/2 then tan (sin^-1 x) is equal to a) x/(1-x^2) b) x/(1+x^2) c) x/sqrt(1-x^2) d) 1/sqrt(1-x^2)