Home
Class 14
MATHS
If x = a cos theta + b sin theta and y=a...

If `x = a cos theta + b sin theta` and `y=a sin theta-b cos theta`, the value of `x^2+y^2` is:
यदि `x = a cos theta + b sin theta` तथा `y=a sin theta-b cos theta` है, तो `x^2+y^2` का मान ज्ञात करें |

A

`x^2+y^2=a^2-b^2`

B

`x^2+y^2=a^2+b^2`

C

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

D

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

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • 2014 TIER-II PAPER(19)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos
  • 2016 TIER-II PAPER(14)

    CHAMPION PUBLICATION|Exercise EXERCISE|100 Videos

Similar Questions

Explore conceptually related problems

If x=a cos theta + b sin theta and y=a sin theta - b cos theta. then a ^(2) +b^(2) is equal to

If x = a cos theta - b sin theta and y = a sin theta + b cos theta, prove that x^2 + y^2 = a^2 + b^2.

If x=a cos theta - b sin theta , and y=a sin theta+b cos theta , what is the value of (x^2+y^2)/(a^2+b^2) ?

If x=a cos theta-b sin theta and y=a sin theta+b cos theta then prove that :x^(2)+y^(2)=a^(2)+b^(2)

If x=a(sin theta+cos theta) and y=b(sin theta-cos theta) , then the value of x^2/a^2+y^2/b^2 is - यदि x=a(sin theta+cos theta) और y=b(sin theta-cos theta) , तो x^2/a^2+y^2/b^2 का मान क्या होगा ?

If x=2 cos theta- cos 2 theta and y=2 sin theta - sin 2 theta, then (dy)/(dx) =

CHAMPION PUBLICATION-2015 TIER-II PAPER(17)-EXERCISE
  1. AB and CD are two parallel chords of a circle of lengths 10 cm and 4 c...

    Text Solution

    |

  2. Two blends of a commodity cost ing Rs. 35 and Rs. 40 per kg. respectiv...

    Text Solution

    |

  3. If x = a cos theta + b sin theta and y=a sin theta-b cos theta, the va...

    Text Solution

    |

  4. A manufacturer fixes his selling price at 33% over the cost of product...

    Text Solution

    |

  5. A plane divides a right circular cone into two parts of equal volume. ...

    Text Solution

    |

  6. Two places P and Q are 162km apart. A train leaves P for Q and simulta...

    Text Solution

    |

  7. The area of an isosceles trapezium is 176 cm^(2) and the height is (2...

    Text Solution

    |

  8. In an examination average marks obtained by the girls of a class is 85...

    Text Solution

    |

  9. In triangle ABC, DE||BC where D is a point on AB and E is a point on A...

    Text Solution

    |

  10. In trapezium ABCD, AB || CD and AB = 2 CD. Its diagonals intersect at ...

    Text Solution

    |

  11. Average of n numbers is a. The first number is Increased by 2, second ...

    Text Solution

    |

  12. The unit digit in the product (2467)^153xx(341)^72 is गुणनफल (2467)^...

    Text Solution

    |

  13. If a man walks at the rate of 5 km/hour he misses a train by 7 minutes...

    Text Solution

    |

  14. If 60% of A=30% of B, B=40% of C and C=x% of A, then value of x is

    Text Solution

    |

  15. If a - (1)/(a - 3) = 5, then the avlue of (a- 3) ^(3) - (1)/((a - 3) ^...

    Text Solution

    |

  16. If O is the circumcentre of a triangle ABC lying inside the tri angle,...

    Text Solution

    |

  17. The interior angle of a regular polygon exceeds its exterior angle by ...

    Text Solution

    |

  18. The marked price of a tape recorder is 12,600.A festivel discount of 5...

    Text Solution

    |

  19. If A :B=2 : 3 and B : C=3 :7, then A+B : B+C : C+A is.

    Text Solution

    |

  20. Let x be the least number, which when divided by 5, 6, 7 and 8 leaves ...

    Text Solution

    |