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: a) sin2A + sin2B-sin2C=4cosA cosB sinC

int (x(sin^-1x))/(sqrt(1-x^2))dx

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: If in a triangle ABC, sin ^(2) A+sin ^(2)B+sin ^(2)C=2, then one of the angles must be 90^(@). Statement II: In any triangle ABC cos 2A+ cos 2B+cos 2C=-1-4 cos A cos B cos C

In DeltaABC, if sin^2 A+ sin^2 B = sin^2 C , then the triangle is

Prove that sin^(-1)(2x.sqrt(1-x^(2)))=2cos^(-1)x,(1)/(sqrt(2))lexlt1

If int (2^x)/(sqrt(1-4^(x)))dx = k sin^(-1) (2^(x))+C , then k is equal to :

Statement I In a Delta ABC, if cos ^(2)""A/2 + cos ^(2)""B/2 +cos ^(2) ""C/2=y(x^(2)+(1)/(x^(2))) then the maximum value of y is 9/8. Statement II In a Delta ABC, sin ""A/2 . Sin ""B/2 sin ""C/2 le 1/8

If A + B + C =pi/2 , prove that : sin^2 A +sin^2 B+sin^2 C= 1-2 sin A sin B sin C .