Home
Class 12
MATHS
The radius of the circle whose equation ...

The radius of the circle whose equation in parametric form is `P(theta)=(acostheta+bsintheta,asintheta-bcostheta),` is : `(a+b)/2` (b) `sqrt(a b)` `sqrt(a^2+b^2)` (d) `(a b)/(a+b)`

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP ENGLISH|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP ENGLISH|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

If acosheta+bsintheta=4 & asintheta - bcostheta= 3 then a^2+b^2

If x=acostheta-bsinthetaandy=asintheta+bcostheta , then show that : x^(2)+y^(2)=a^(2)+b^(2)

If acostheta+bsintheta=m and asintheta-bcostheta=n , prove that a^2+b^2=m^2+n^2

If acostheta+bsintheta=m and asintheta-bcostheta=n , Prove that a^2+b^2=m^2+n^2

x=acostheta+bsintheta and y=asintheta-bcostheta, show that y^2(d^2y)/(dx^2)-x(dy)/(dx)+y=0

If acostheta+bsintheta=4 and asintheta-bcostheta=3 , then a^2+b^2 = (a) 7 (b) 12 (c) 25 (d) None of these

If acostheta+bsintheta=m and asintheta-bcostheta=n , then show that a^(2)+b^(2)=m^(2)+n^(2) .

If tantheta=a/b , then (asintheta+bcostheta)/(asintheta-bcostheta) is equal to (a) (a^2+b^2)/(a^2-b^2) (b) (a^2-b^2)/(a^2+b^2) (c) (a+b)/(a-b) (d) (a-b)/(a+b)

If acostheta+b sintheta=x and asintheta-bcostheta=y prove that a^2+b^2=x^2+y^2

If tantheta=a/b , show that (asintheta-bcostheta)/(asintheta+bcostheta)=(a^2-b^2)/(a^2+b^2)

RESONANCE DPP ENGLISH-JEE MAINS-All Questions
  1. If log((sqrt5-1)/4)(3x-4x^3)< 1; and 0 < x < 1 then x contains the int...

    Text Solution

    |

  2. If y=tan^(-1){(sqrt(1+x)-sqrt(1-x))/(sqrt(1+x)+sqrt(1-x))},"f i n d"(d...

    Text Solution

    |

  3. The radius of the circle whose equation in parametric form is P(theta)...

    Text Solution

    |

  4. If lim(x->0)[1+x+(f(x))/x]^(1/x)=e^3, then find the value of 1n(lim(x-...

    Text Solution

    |

  5. Let log3^N = alpha1 + beta1 , log5^N = alpha2 + beta2 , log7^N = alph...

    Text Solution

    |

  6. Consider curve y=f(x), then if PT = Length of tangent PN= Length of n...

    Text Solution

    |

  7. If a chord of the circle x^(2)+y^(2)-4x-2y-c=0 is trisected at the poi...

    Text Solution

    |

  8. If a x 62+b x+c=0 has imaginary roots and a-b+c >0 then the set of poi...

    Text Solution

    |

  9. Evaluate: ("lim")(xvecoo)((a1^( 1/x)+a2^ (1/x)+ --+a n^(1/x))/n)^(n x)

    Text Solution

    |

  10. Let a ray of light leaves the point (3, 4) reflects from the y-axis an...

    Text Solution

    |

  11. If the line y=x cuts the curve x^3+3y^3-30 x y+72 x-55=0 in points A ,...

    Text Solution

    |

  12. Find the equation of the bisector of the angle between the lines x+ 2...

    Text Solution

    |

  13. Sum of roots of the equation x^2-2x^2sin^2(pix)/2+1=0 is 0 (b) 2 (...

    Text Solution

    |

  14. DeltaABC is formed by the lines 2x-3y-6=0, 3x-y+3=0 and 3x+4y-12=0. If...

    Text Solution

    |

  15. If the tangent at a point P with parameter t, on the curve x=4t^2+3, y...

    Text Solution

    |

  16. The lines 3x+4y=9&4x-3y+12=0 intersect at Pdot The first line intersec...

    Text Solution

    |

  17. If sum of the roots of the quadratic equation, a x^2+b x+c=0 is 12 , ...

    Text Solution

    |

  18. If y= ln 5 (ln 7 x),then (dy)/(dx) =

    Text Solution

    |

  19. The equation of the base of an equilateral triangle is x+y-2=0 and the...

    Text Solution

    |

  20. The radius of a right circular cylinder increases at a constant rate. ...

    Text Solution

    |