Home
Class 12
MATHS
A tangent is drawn to the ellipse (x^2)/...

A tangent is drawn to the ellipse `(x^2)/(27)+y^2=1` at `(3sqrt(3)costheta, sin theta)` where `theta epsilon(0,pi/2)dot` Then find the value of `theta` such that the sum of intercepts on the axes made by this tangent is minimum.

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos

  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

A tangent is drawn to the ellipse (x^(2))/(27)+y^(2)=1 at (3sqrt(3)cos theta,sin theta) where theta varepsilon(0,(pi)/(2)) .Then find the value of theta such that the sum of intercepts on the axes made by this tangent is minimum.

Let a tangent be drawn to the ellipse x^2/(27) +y^2=1" at "(3sqrt3 cos theta, sin theta)," where "theta in (0,pi/2) , Then the value of theta such that the sum of intercepts on axes made by this tangent is minimum is equal to :

Tangent is drawn to ellipse (x^(2))/(27)+y^(2)=1 at (3sqrt(3)cos theta,sin theta) Iwhere theta in(0,(pi)/(2))] Then the value of theta such that sum of intercepts on axes made by this tangent is mintercepts on (pi)/(6)(c)(pi)/(8)(d)(pi)/(4)

If 2sin^(2)theta=3cos theta, where 0<=theta<=2 pi, then find the value of theta

A tangent is drawn to the ellipse (x^(2))/(27)+y^(2)=1 at the point (3 sqrt(3) cos theta sin theta) where 0 lt theta lt (pi)/(2) . The sum of intecepts of the tangents with the coordinates axes is least when theta equals

Normal is drawn to the ellipse (x^(2))/(27)+y^(2)-1 at a point (3sqrt(3)cos theta,sin theta) where theta

If 2sin^(2)theta=3costheta , where 0lethetale2pi , then find the value of theta .

A tangent is drawn at the point (3sqrt(3)cos theta,sin theta) for 0

If 2cos(theta)+sin(theta)=1 and (3 pi)/(2)

RESONANCE DPP-JEE MAINS-All Questions
  1. If the tangents from the point (lambda, 3) to the ellipse x^2/9+y^2/4=...

    Text Solution

    |

  2. A curve with equation of the form y=a x^4+b x^3+c x+d has zero gradie...

    Text Solution

    |

  3. A tangent is drawn to the ellipse (x^2)/(27)+y^2=1 at (3sqrt(3)costhe...

    Text Solution

    |

  4. The left hand derivative of f(x)=[x]sin(pix) at x = k, k is an intege...

    Text Solution

    |

  5. The locus of the point of intersection of the tangents at the extre...

    Text Solution

    |

  6. Find the possible values of a such that f(x)=e^(2x)-(a+1)e^x+2x is mon...

    Text Solution

    |

  7. Prove that, the normal to y^(2) = 12x at (3,6) meets the parabola agai...

    Text Solution

    |

  8. The two curves x=y^2a n dx y=a^3 cut orthogonally, then a^2 is equal...

    Text Solution

    |

  9. Number of normals drawn from the point (-2,2) to the parabola y^2-2y-2...

    Text Solution

    |

  10. The two parts of 100 for which the sum of double of first and square o...

    Text Solution

    |

  11. area of the triangle formed by the tangents at the points (4, 6), (10,...

    Text Solution

    |

  12. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  13. The value of (a+bomega+comega^2)/(b+comega+aomega^2)+(a+bomega+comega^...

    Text Solution

    |

  14. The tangent to y=a x^2+b x+7/2 at (1,2) is parallel to the normal...

    Text Solution

    |

  15. If z1,z2,z3,z4 are imaginary 5th roots of unity, then the value of su...

    Text Solution

    |

  16. The domain of the derivative of the function f(x)={t a n^(-1)x ,if|x|l...

    Text Solution

    |

  17. Find the coefficients of x^(50) in the expression (1+x)^(1000)+2x(1+x)...

    Text Solution

    |

  18. Which of the following is true? pi/3>tan^(-1)pi/3 (b) pi/3<tan^(-1)pi...

    Text Solution

    |

  19. The sum of first p-terms of a sequence is p(p+1)(p+2)dot The 10th ter...

    Text Solution

    |

  20. Evaluate: int(-1)^4f(x)dx=4a n dint2^4(3-f(x))dx=7, then find the val...

    Text Solution

    |