Home
Class 12
MATHS
Statement I If xy+yz+zx=1, then Sigma...

Statement I If `xy+yz+zx=1`, then
`Sigma(x)/((1+x^(2)))=(2)/(sqrt(Pi(1+x^(2))))`.
Statement II In a `DeltaABC sin 2A+sin 2B-sin2C=4cosAcosB sinC`

A

Both Statement I and Statement II are individually true and R is the correct explanation of Statement I.

B

Both Statement I and Statement II are individually true but Statement II is not the correct explanaton of Statement I.

C

Statement I is true but Statement II is false.

D

Statement I is false but Statement II is true.

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|13 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (Matching Type Questions)|3 Videos
  • TRIGONOMETRIC FUNCTIONS AND IDENTITIES

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|21 Videos
  • TRIGONOMETRIC EQUATIONS AND INEQUATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • VECTOR ALGEBRA

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|9 Videos

Similar Questions

Explore conceptually related problems

In DeltaABC ,prove that: sin2A + sin2B-sin2C=4cosA cosB sinC

Statement I : If -1 le x lt 0 , then cos (sin^(-1)x) = -sqrt(1-x^(2)) Statement II : If -1 le x lt 0 , then sin (cos^(-1)x) = sqrt(1 - x^(2)) Which one of the following is correct is respect of the above statements ?

Statement I If y=sin^(-1)(3x-4x^(3)), then (dy)/(dx)=(3)/(sqrt(1-x^(2))) only when (-1)/(2)lexlt(1)/(2)/. Statement II sin^(-1)(3x-4x^(3)) ={(-pi-3sin^(-1)x,,-1lexle-(1)/(2),),(3sin^(-1)x,,-(1)/(2)lexle(1)/(2),),(pi-3sin^(-1)x,,(1)/(2)lexle1,):}

Statement I: lim_(x rarr0)(x)/(sin b^(2)x)=4 then b=+-(1)/(2) Statement II: lim_(x rarr0)(sin x)/(x)=1

The value of int_(-pi)^( pi)(x^(2))/(1+sin x+sqrt(1+sin^(2)x))dx is

With the usual notation in a DeltaABC,|(1,1,1),(sin A,sin B,sin C),(sin^2 A,sin^2 B, sin^2 C)|=

Solve for x:sin^(-1)(sin((2x^(2)+4)/(1+x^(2))))

int sqrt(1+sin x)dx=2(sin((x)/(2))-cos((x)/(2)))+c=2sqrt(1-sin x)+c

Statement 1. If sin^-1 x=cos^-1 x, then x= 1/sqrt(2) , Statement 2. sin^-1 x+cos^-1 x= pi/2, 1lexlarr1 (A) Both Statement 1 and Statement 2 are true and Statement 2 is the correct explanation of Statement 1 (B) Both Statement 1 and Statement 2 are true and Statement 2 is not the correct explanatioin of Statement 1 (C) Statement 1 is true but Statement 2 is false. (D) Statement 1 is false but Statement 2 is true