Home
Class 10
MATHS
If x=atan theta and y=b sec theta then...

If `x=atan theta and y=b sec theta` then

A

`(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`

B

`(y^(2))/(b^(2))-(x^(2))/(a^(2))=1`

C

`(x^(2))/(a^(2))+(y^(2))/(b^(2))=1`

D

`(x^(2))/(a^(2))-(y^(2))/(b^(2))=1`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • NUMBER AND SEQUENCES

    SURA PUBLICATION|Exercise Unit test|12 Videos
  • RELATIONS AND FUNCTIONS

    SURA PUBLICATION|Exercise Unit Test|14 Videos

Similar Questions

Explore conceptually related problems

If x=a sec theta and y=b tan theta then b^(2)x^(2)-a^(2)y^(2) =_____.

If x= a sin theta and y =b cos theta, then (d^2 y)/(dx^2) is…............ .

If x=h+a sec theta and y= k + b "cosec" theta then

Eliminate theta from the equations a sec theta - c tan theta = b and b sec theta + d tan theta = c.

If x=sectheta-costheta and y=sec^n theta- cos^n theta then show that (x^2+4)((dy)/(dx))^2=n^2(y^2+4)

Prove: sec theta + tan theta = 1/(sec theta - tan theta)

If x sin ^3 theta +y cos^3 theta = sin theta cos theta and x sin theta =y cos theta then x^2 +y^2 is

SURA PUBLICATION-ONE MARK QUESTIONS SET -Multiple Choice Question
  1. Consider four straight lines (i)l(1)=3y=4x+5 (ii)l(2):4y=3x-1 (iii...

    Text Solution

    |

  2. (2, 1) is the points of intersection of two lines

    Text Solution

    |

  3. If x=atan theta and y=b sec theta then

    Text Solution

    |

  4. In a hollow cylinder, the sum of the external and internal radii is 14...

    Text Solution

    |

  5. The sum of all deviations of the data from its mean is

    Text Solution

    |

  6. Which of the following is incorrect ?

    Text Solution

    |

  7. The range of the relation r={(x, x^(2))| x is a prime number less than...

    Text Solution

    |

  8. Let A={1, 2, 3, 4} and B={4, 8, 9, 10}. A function f:A to B given by f...

    Text Solution

    |

  9. If 6 times of 6th term of an A.P. is equal to 7 times term, then the 1...

    Text Solution

    |

  10. Find the sum of 1+3+5+…+ to 40 terms

    Text Solution

    |

  11. If (x-6) is the HCF of x^(2)-2x-24 and x^(2)-kx-6 then the value of k ...

    Text Solution

    |

  12. The square root of 361x^(4)y^(2) is .

    Text Solution

    |

  13. For the given matrix A=[(1, 3, 5, 7), (2, 4, 6, 8), (9, 11, 13, 15)] t...

    Text Solution

    |

  14. If Delta ABC is an isosceles triangle with angle C=90^(@) and AC=5 cm,...

    Text Solution

    |

  15. If the slope of the line PQ is (1)/(sqrt(3)) then slope of the perpen...

    Text Solution

    |

  16. If sin theta+cos theta=a and sec theta+cosec theta=b, then the value o...

    Text Solution

    |

  17. The total surface area of a cylinder whose radius is (1)/(3) of its he...

    Text Solution

    |

  18. The ratio of the volumes of a cylinder, a cone and a sphere, if each ...

    Text Solution

    |

  19. If the sum and mean of a data are 407 and 11 respectively, then the nu...

    Text Solution

    |

  20. If P(A capB)=0.3, P(overline(A)capB)=0.45 then P(B)=.

    Text Solution

    |