Home
Class 12
MATHS
The line x =2 y intersects the ellipse ...

The line x =2 y intersects the ellipse `(x^(2))/(4) +y^(2) = 1 ` at the points P and Q . The equation of the circle with pq as diameter is _

A

`x^(2) + y^(2) = (1)/(2)`

B

`x^(2) + y^(2) = 1 `

C

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

D

`x^(2) + y^(2) = (5)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2013)|17 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBJEE Archive (2014)|5 Videos
  • COORDINATE GEOMETRY

    CHHAYA PUBLICATION|Exercise WBHS Archive (2016)|11 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CHHAYA PUBLICATION|Exercise Sample Questions for Competitive Examination (Assertion - Reason Type)|2 Videos
  • DEFINITE INTEGRAL

    CHHAYA PUBLICATION|Exercise SAMPLE QUESTIONS FOR COMPETITIVE EXAMINATION ( ASSERTION-REASON TYPE )|2 Videos

Similar Questions

Explore conceptually related problems

The line y=2t^(2) intersects the ellipse (x^(2))/(9)+(y^(2))/(4)=1 in real points if

The line y = x intersects the hyperbola (x^(2))/(9) -(y^(2))/(25) = 1 at the points P and Q . The eccentricity of ellipse with PQ as major axis and minor axis of length (5)/(sqrt(2)) is _

Lines x + y = 1 and 3y = x + 3 intersect the ellipse x^(2) + 9y^(2) = 9 at the points P , Q , R . The area of the triangle PQR is _

The straight line x+y - 1= 0 cuts the circle x^(2) + y^(2) - 6x - 8y = 0 at A and B. Find the equation of the circle of which AB is a diameter.

The circle x^2+y^2-8x = 0 and hyperbola x^2 /9 - y^2 /4=1 intersect at the points A and B. Then the equation of the circle with AB as its diameter is

The circle x^(2) + y^(2) + 2x - 4y - 11 = 0 and the line x-y+1=0 intersect at A and B. Find the equation to the circle on AB as diameter.

If the straight line x - 2y + 1 = 0 intersects the circle x^2 + y^2 = 25 at points P and Q, then find the coordinates of the point of intersection of the tangents drawn at P and Q to the circle x^2 + y^2 = 25 .

The intercept oil the line y = x by the circle x^2 + y^2 - 2x = 0 is AB. Equation of the circle with AB as diameter is

P (x_(1),y_(1)) and Q(x_(2),y_(2)) are two ends of a latus rectum of the ellipse x^(2) + 4y^(2) = 4 , where y_(1),y_(2) lt 0 . The equation of parabola with latus rectum PQ is _

The intercept on the line y = x by the circle x^2+y^2-2x=0 is AB. Equation of the circle with AB as diameter is

CHHAYA PUBLICATION-COORDINATE GEOMETRY-WBJEE Archive (2012)
  1. If the equation ax^2 + 2hxy + by^2 + 2gx + 2fy + c = 0 represents a pa...

    Text Solution

    |

  2. If the circles x^(2) + y^(2) + 2x + 2ky + 6 = 0 and x^(2) + y^(2) ...

    Text Solution

    |

  3. The line joining A (b cos alpha b sin alpha ) and B (a cos beta , ...

    Text Solution

    |

  4. If four distinct points (2k , 3k ) , (2 , 0) ,(0 , 3) and (0 , 0) lie ...

    Text Solution

    |

  5. Let the foci of the ellipse (x^(2))/(9) + y^(2) = 1 subtend a right ...

    Text Solution

    |

  6. Let P (2 , -3) , Q (-2 , 1) be the vertices of the triangle PQR . If t...

    Text Solution

    |

  7. Let P be the midpoint of a chord joining the vertex of the parabola...

    Text Solution

    |

  8. The line x =2 y intersects the ellipse (x^(2))/(4) +y^(2) = 1 at...

    Text Solution

    |

  9. The eccentric angle in the first quadrant of a point on the ellipse (x...

    Text Solution

    |

  10. The transverse axis of a hyperbola is along the x - axis and its leng...

    Text Solution

    |

  11. A point moves in such a way that the difference of its distances from...

    Text Solution

    |

  12. The number of integer values of m. for which the x - coordinate of the...

    Text Solution

    |

  13. If a straight line passes through the point (alpha , beta) and the...

    Text Solution

    |

  14. Let p , q , r be the altiudes of triangles with area s and perimeter ...

    Text Solution

    |

  15. Let C(1) and C(2) denote the centres of the circles x^(2) +y^(2)...

    Text Solution

    |

  16. A straight line through the point of intersection of the lines x + 2y ...

    Text Solution

    |

  17. Let P and Q be the points on the prabola y^(2) = 4x so that the lin...

    Text Solution

    |

  18. The incentre of an equilateral triangle is (1,1) and the equation of ...

    Text Solution

    |