Home
Class 12
MATHS
If x=a cos^(3) theta , y= a sin^(3) the...

If ` x=a cos^(3) theta , y= a sin^(3) theta ` then

A

`x^(2//3)+y^(2//3)=a^(2//3)`

B

`x^(2)+y^(2) =a^(2)`

C

`x^(3//2)+y^(3//2)=a^(3//2)`

D

`y^(2)=4ax `

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 B ( COMPOUNDS ANGLES )|106 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 1 C ( MULTIPLE AND SUBMULTIPLE ANGLES )|118 Videos

  • TRIGONOMETRIC RATIOS AND IDENTITIES

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 ( SPEICAL TYPE QUESTIONS ) SET -4|20 Videos

  • TRIGONOMETRIC EQUATIONS

    DIPTI PUBLICATION ( AP EAMET)|Exercise EXERCISE 2 (SPECIAL TYPE QUESTIONS) SET - 4|4 Videos

Similar Questions

Explore conceptually related problems

Find the slope of the normal to the curve x = a cos^(3) theta, y = a sin^(3) theta at theta = pi//4 .

At any point '' theta'' on the curve x=a cos^(3) theta, y= a sin^(3) theta , find the length of tangent normal, substangent and subnormal.

Find the slope of the normal to the curve x=a cos^(3) theta,y=a sin^(3) theta at theta=(pi)/(4) .

If x = a cos^4 theta , y = a sin^4 theta then (dy)/(dx) at theta = (3 pi)/4 is

Find the length of the tangent, length of the normal, the subtangent, the subnormal of the curve x=a cos^(3),theta, y= a sin^(3) theta(a gt 0)

Eliminating theta from the following (i) x = a cos^(3) theta " " y = b sin^(3) theta

If x =cos^3 theta, y = sin^3 theta then sqrt(1+((dy)/(dx))^2)=

If x=a cos^(3) theta sin^(2) theta, y= a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p, q, in N) is independent of theta , then

If x=a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) theta and ((x^(2)+y^(2))^(p))/((xy)^(q))(p,q in N) is independent of theta , the

If x = a cos^(3) theta sin^(2) theta,y = a sin^(3) theta cos^(2) thea and (x^(2)+y^(2))^(p)/((xy)^(q)),(p,q in N) is independent of theta then

DIPTI PUBLICATION ( AP EAMET)-TRIGONOMETRIC RATIOS AND IDENTITIES -EXERCISE 1 A ( TRIGONOMETRIC FUNCTIONS)
  1. sqrt((1+sinA)/(1-sin A ))=

    Text Solution

    |

  2. If sqrt((1+ cos theta )/(1- cos theta ))="cosec " theta + cot theta " ...

    Text Solution

    |

  3. If x=a cos^(3) theta , y= a sin^(3) theta then

    Text Solution

    |

  4. If x= a cos^(4) theta, y=bsin^(4) theta , then sqrt(x//a) + sqrt(y//...

    Text Solution

    |

  5. If x cos theta + y sin theta = a , x sin theta - y cos theta = b the...

    Text Solution

    |

  6. If sin theta + cos theta = m and sec theta + " cosec " theta = n the...

    Text Solution

    |

  7. If (x)/(a) cos theta + (y)/(b) sin theta = 1 , (x)/(a) sin theta - (y...

    Text Solution

    |

  8. If x=a("cosec" theta + cot theta ) , y=b( " cosec " theta - cot theta ...

    Text Solution

    |

  9. If x sec theta + y tan theta = a, x tan theta + y sec theta = b " the...

    Text Solution

    |

  10. By eleminating theta from the equation a1 "cosec " theta + b1 cot th...

    Text Solution

    |

  11. If x= a ( sec theta + tan theta )^2 , y=b(sec theta - tan theta )^2 "...

    Text Solution

    |

  12. If tan theta + sin theta = m, tan theta - sin theta = n " then " (m^(...

    Text Solution

    |

  13. If x= cot theta + cos theta , y= cot theta - cos theta , " then " (x^...

    Text Solution

    |

  14. If cot theta + tan theta = m , sec theta - cos theta = n " then " (m^...

    Text Solution

    |

  15. If "cosec " theta - sin theta = m, sec theta - cos theta =n , " then ...

    Text Solution

    |

  16. If a=x cos^(2) alpha + ysin^(2) alpha " then " (x-a)(y-a)+(x-y)^(2)si...

    Text Solution

    |

  17. If x= a cos^(2) theta sin theta and y= a sin^(2) theta cos theta , "...

    Text Solution

    |

  18. If x=r cos theta cos phi , y=r cos theta sin phi and z=r sin theta , ...

    Text Solution

    |

  19. If x=r cos alpha cos beta cos gamma , y= cos alpha cos beta sin gamma...

    Text Solution

    |

  20. Let fk(x)=(1)/(k)(sin^k x+ cos^k x) " where " x in R and k ge 1 . Then...

    Text Solution

    |