Home
Class 12
MATHS
Let (x , y) be such that sin^(-1)(a x)+c...

Let `(x , y)` be such that `sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/2dot` Match the statements in column I with statements in column II `Ifa=1a n db=0,t h e n(x , y)` , (p) lies on the circle `x^2+y^2=1` `Ifa=1a n db=1,t h e n(x , y)` , (q) `l i e son(x^2-1)(y^2-1)=0` `Ifa=1a n db=2,t h e n(x , y)` , (r) lies on `y=x` `Ifa=2a n db=2,t h e n(x , y)` , (s) lies on `(4x^2-1)(y^2-1)=0`

Promotional Banner

Topper's Solved these Questions

  • INTRODUCTION TO VECTORS

    CENGAGE PUBLICATION|Exercise TRUE OR FALSE|1 Videos

  • JEE 2019

    CENGAGE PUBLICATION|Exercise Chapter 10|8 Videos

Similar Questions

Explore conceptually related problems

If x+y=pi/4a n dtanx+tany=1,t h e n(n in Z)

If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n prove t h a t x^2+y^2+z^2+2x y z=1

If the arithmetic mean of x and y be (x^(n+1)+ y^(n+1))/(x^(n) + y^(n)) , then find n.

Let y(x) be a solution of the differential equation (1+e^(x))y'+ye^(x)=1 . If y(0)=2 , then which of the following statements is (are) true?

Let O be the origin. If A(1,0)a n dB(0,1)a n dP(x , y) are points such that x y >0a n dx+y<1, then P

If x^2 = a^(sin^(-1)t) and y^2= a^(cos^(-1)t) then show that (dy)/(dx)=-y/x .

If t a n y=(2^x)/(1+2^(2x+1)),t h e n(dy)/(dx) at x=0 is

If y=sqrt(log{sin((x^2)/3-1)}) , t h e n find (dy)/(dx)dot

If sin^(-1)((x^2-y^2)/(x^2+y^2))=loga ,t h e n(dy)/(dx) is equal to (a) x/y (b) y/(x^2) (C) (x^2-y^2)/(x^2+y^2) (d) y/x

(x^(2^n)-y^(2^n))/(x^(2^(n-1))+y^(2^(n-1)))=

CENGAGE PUBLICATION-INVERSE TRIGONOMETRIC FUNCTIONS-All Questions
  1. Find the sum of the following AP : 0.6, 1.7, 2.8, ……, to 100 terms.

    Text Solution

    |

  2. Find the sum of the following AP -37, -33, -29, …… to 12 terms.

    Text Solution

    |

  3. Let (x , y) be such that sin^(-1)(a x)+cos^(-1)(y)+cos^(-1)(b x y)=pi/...

    Text Solution

    |

  4. Match the statements/expressions given in Column I with the values giv...

    Text Solution

    |

  5. sum(r=1)^nsin^(-1)((sqrt(r)-sqrt(r-1))/(sqrt(r(r+1))))is equal to (a...

    Text Solution

    |

  6. Prove that: sum(m=1)^ntan^(-1)((2m)/(m^4+m^2+2))=tan^(-1)((n^2+n)/(n^2...

    Text Solution

    |

  7. The greater of the two angles A=2tan^(-1)(2sqrt(2)-1) and B=3sin^(-1)(...

    Text Solution

    |

  8. The numerical value of "tan"(2tan^(-1)(1/5)+pi/4) is equal to

    Text Solution

    |

  9. The value of alpha such that sin^(-1)2/(sqrt(5)),sin^(-1)3/(sqrt(10)),...

    Text Solution

    |

  10. The number of solutions of the equation tan^(-1)(1+x)+tan^(-1)(1-x)=pi...

    Text Solution

    |

  11. Find the sum of given below: 34 + 32 + 30 + … + 10

    Text Solution

    |

  12. If x , y , z are natural numbers such that cot^(-1)x+cot^(-1)y=cot^(-1...

    Text Solution

    |

  13. If tan^(-1)x+tan^(-1)y+tan^(-1)z=pi/2,t h e n x+y+z-x y z=0 x+...

    Text Solution

    |

  14. If x^2+y^2+z^2=r^2,t h e ntan^(-1)((x y)/(z r))+tan^(-1)((y z)/(x r))+...

    Text Solution

    |

  15. If cot^(-1)x+cot^(-1)y+cot^(-1)z=pi/2,x , y , z >0a n dx y<1, then x+y...

    Text Solution

    |

  16. If cos^(-1)x+cos^(-1)y+cos^(-1)z=pi,t h e n (a) x^2+y^2+z^2+x y z=0 ...

    Text Solution

    |

  17. If 0 < cos^-1(x) <1 and 1+sin(cos^(-1)x)+sin^2(cos^(-1)x)+sin^3(cos^(...

    Text Solution

    |

  18. The least value of (1+sec^(-1)x)(1+cos^(-1)x) is

    Text Solution

    |

  19. Find the value of cot^(-1)(3/4)+sin^(-1)(5/13)

    Text Solution

    |

  20. If (x -1) (x^(2) + 1) gt 0, then find the value of sin((1)/(2) tan^(-1...

    Text Solution

    |