Home
Class 12
MATHS
If [ x cos ( cot^(-1) x ) + sin ( cot^(-...

If `[ x cos ( cot^(-1) x ) + sin ( cot^(-1) x) ]^(2) = (51)/(50)` then the positive value of x is

A

`(1)/(sqrt(2))`

B

`(1)/(5 sqrt(2))`

C

`2 sqrt(2)`

D

`5 sqrt(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • SAMPLE PAPER 7

    EDUCART PUBLICATION|Exercise SECTION -B|20 Videos

  • SAMPLE PAPER 7

    EDUCART PUBLICATION|Exercise SECTION -C|10 Videos

  • SAMPLE PAPER 6

    EDUCART PUBLICATION|Exercise SECTION - C |9 Videos

Similar Questions

Explore conceptually related problems

If cot^(-1) ( - (1)/(sqrt(3))) =x then the value of sin x is

If tan(cos^(-1) x) = sin (cot^(-1).(1)/(2)) , then find the value of x

sin {cot^(-1)[tan (cos^(-1)x)]=

Statement 1: If x=(1)/(5 sqrt(2)) , then [x cos(cot^(-1)x)+sin(cot^(-1)x)]^(2)=(51)/(50) . Statement 2: tan["cot"^(-1)(1)/(5sqrt(2))-"sin"^(-1)(4)/(sqrt(17))]=(29)/(3) .

If sin (cot^(-1)(1-x))=cos(tan^(-1)(-x)) , then x is

If cos(cot^(-1)((1)/(2)))=cot(cos^(-1)x) , then a value of x is