Home
Class 11
MATHS
The set of values of m for which it is p...

The set of values of `m` for which it is possible to draw the chord `y=sqrt(m)x+1` to the curve `x^2+2x y+(2+sin^2alpha)y^2=1` , which subtends a right angle at the origin for some value of `alpha` , is `[2,3]` (b) `[0,1]` `[1,3]` (d) none of these

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE PUBLICATION|Exercise All Questions|877 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE PUBLICATION|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

The locus of the midpoints of chords of the circle x^(2) + y^(2) = 1 which subtends a right angle at the origin is

If the curve x^(2)+3y^(2)=9 subtends an obtuse angle at the point (2alpha, alpha) then a possible value of alpha^(2) is

Show that all chords of the curve 3x^2-y^2-2x+4y=0, which subtend a right angle at the origin, pass through a fixed point. Find the coordinates of the point.

If the chord u=mx +1 of the circel x ^(2) +y^(2)=1 subtends an angle of 45^(@) at the major segment of the circle, then the value of m is-

The condition that the chord xcos alpha +ysin alpha -p=0 of x^2+y^2-a^2=0 may subtend a right angle at the centre of the circle is

Find the locus of middle points of chords of the ellipse x^2/a^2+y^2/b^2=1 which subtend right angles at its centre.

Find the locus of middle points of chords of the ellipse (x^(2))/(a^(2))+(y^(2))/(b^(2))=1 which subtend right angle at its center.

The locus of the midpoint of a chord of the circle x^2+y^2=4 which subtends a right angle at the origins is (a) x+y=2 (b) x^2+y^2=1 x^2+y^2=2 (d) x+y=1

The common chord of x^2+y^2-4x-4y=0 and x^2+y^2=16 subtends at the origin an angle equal to

If the line - segment joining the points A(x_(1),y_(1))andB(x_(2),y_(2)) subtends an angle alpha at the origin O, then find the value of cosalpha .

CENGAGE PUBLICATION-CONIC SECTIONS-All Questions
  1. A hyperbola having the transverse axis of length 2sintheta is confocal...

    Text Solution

    |

  2. If it is posssible to draw the tangent to the hyperbola (x^(2))/(a^(2)...

    Text Solution

    |

  3. The set of values of m for which it is possible to draw the chord y=sq...

    Text Solution

    |

  4. Find the equations of the tangents to the hyperbola x^(2)-9y^(2)=9 tha...

    Text Solution

    |

  5. Let a and b be nonzero real numbers. Then the equation (a x^2+b y^2+c)...

    Text Solution

    |

  6. x^2/(r^2-r-6)+y^2/(r^2-6r+5)=1 will represent ellipse if r lies in the...

    Text Solution

    |

  7. Find the equations to the common tangents to the two hyperbolas (x^2)/...

    Text Solution

    |

  8. Let P(6, 3) be a point on the hyperbola (x^(2))/(a^(2))-(y^(2))/(b^(2)...

    Text Solution

    |

  9. Find the equation of the common tangent to the curves y^2=8x and xy=-1...

    Text Solution

    |

  10. If the maximum distance of any point on the ellipse x^2+2y^2+2x y=1 f...

    Text Solution

    |

  11. An ellipse intersects the hyperbola 2x^2-2y^2 =1 orthogonally. The ecc...

    Text Solution

    |

  12. The number of points on the ellipse (x^2)/(50)+(y^2)/(20)=1 from which...

    Text Solution

    |

  13. let the eccentricity of the hyperbola x^2/a^2-y^2/b^2=1 be reciprocal ...

    Text Solution

    |

  14. The equation of the ellipse whose axes are coincident with the coor...

    Text Solution

    |

  15. Tangent are drawn to the hyperbola (x^(2))/(9)-(y^(2))/(4)=1 parallel ...

    Text Solution

    |

  16. An ellipse with major and minor axes lengths 2a and 2b , respectively,...

    Text Solution

    |

  17. Consider the hyperbola H:x^2-y^2=1 and a circile S with center N(x2,0...

    Text Solution

    |

  18. Let p be the perpendicular distance from the centre C of the hyperbola...

    Text Solution

    |

  19. From a point P(1, 2), pair of tangents are drawn to hyperbola, one tan...

    Text Solution

    |

  20. The combined equation of the asymptotes of the hyperbola 2x^2+5x y+2y^...

    Text Solution

    |