Home
Class 12
MATHS
Let C be a circle with center (0,1) and ...

Let C be a circle with center (0,1) and radius unity. P is the parabola `y=ax^2` . The set of values of a for which they meet at a point other than origin is

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (More Than One Correct Option Type Questions)|14 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise (Passage Based Questions)|23 Videos

  • PARABOLA

    ARIHANT MATHS|Exercise Exercise For Session 2|25 Videos

  • PAIR OF STRAIGHT LINES

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|2 Videos

  • PERMUTATIONS AND COMBINATIONS

    ARIHANT MATHS|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|28 Videos

Similar Questions

Explore conceptually related problems

Find the equation of a curve, the slope of tangent to which at any point (x,y) other than origin is y+y/x .

Let C be the circle with centre (0, 0) and radius 3 units. The equation of the locus of the mid points of the chords of the circle C that subtend an angle of (2pi)/3 at its center is

Let P , Q and R are three co-normal points on the parabola y^2=4ax . Then the correct statement(s) is /at

The circle x^2+y^2+4lamdax=0 which lamda in R touches the parabola y^2=8x . The value of lamda is given by

Let C be the circle with centre at (1, 1) and radius = 1. If T is the circle centred at (0, y), passing through origin and touching the circle C externally, then the radius of T is equal to

y=3x is tangent to the parabola 2y=ax^2+b . If (2,6) is the point of contact , then the value of 2a is

Let PQ be a focal chord of the parabola y^(2)=4ax . The tangents to the parabola at P and Q meet at point lying on the line y=2x+a,alt0 . The length of chord PQ is

The angle between a pair of tangents drawn from a point P to the parabola y^2= 4ax is 45^@ . Show that the locus of the point P is a hyperbola.

The parabola y=x^2+p x+q cuts the straight line y=2x-3 at a point with abscissa 1. Then the value of pa n dq for which the distance between the vertex of the parabola and the x-axis is the minimum is (a) p=-1,q=-1 (b) p=-2,q=0 (c) p=0,q=-2 (d) p=3/2,q=-1/2

The circle C1 : x^2 + y^2 = 3 , with center at O, intersects the parabola x^2 = 2y at the point P in the first quadrant. Let the tangent to the circle C1 at P touches other two circles C2 and C3 at R2 and R3, respectively. Suppose C2 and C3 have equal radii 2sqrt(3) and centers Q2 and Q3, respectively.If Q_2 and Q_3 lies on the y-axis, then

ARIHANT MATHS-PARABOLA-Exercise (Single Option Correct Type Questions)
  1. Evaluate int 22x^2 dx.

    Text Solution

    |

  2. The normal to the parabola y^(2)=4ax at three points P,Q and R meet at...

    Text Solution

    |

  3. Evaluate int 23x^2 dx.

    Text Solution

    |

  4. Find the area of the circle 4x^2 + 4y^2 = 9 which is interior to the p...

    Text Solution

    |

  5. From a point (sintheta,costheta), if three normals can be drawn to the...

    Text Solution

    |

  6. If two different tangents to y^2=4x are the normals to x^2=4 by, then

    Text Solution

    |

  7. The shortest distance between the parabolas 2y^2=2x-1 and 2x^2=2y-1 is...

    Text Solution

    |

  8. Normals at two points (x1y1)a n d(x2, y2) of the parabola y^2=4x meet ...

    Text Solution

    |

  9. A line is drawn from A(-2,0) to intersect the curve y^2=4x at P and Q ...

    Text Solution

    |

  10. Find the length of the side of an equilateral traingle inscribed in th...

    Text Solution

    |

  11. Let C be a circle with center (0,1) and radius unity. P is the parabol...

    Text Solution

    |

  12. Evaluate int 24x^2 dx.

    Text Solution

    |

  13. If P be a point on the parabola y^2=3(2x-3) and M is the foot of perpe...

    Text Solution

    |

  14. Evaluate int 25x^2 dx.

    Text Solution

    |

  15. Through the vertex O of the parabola y^2=4a x , two chords O Pa n dO Q...

    Text Solution

    |

  16. Evaluate int 26x^2 dx.

    Text Solution

    |

  17. If the fourth term in the expansion of (a x+1/x)^n is 5/2, then find ...

    Text Solution

    |

  18. The set of points on the axis of the parabola y^2-4x-2y+5=0 find the s...

    Text Solution

    |

  19. The tangent to the parabola y=x^2 has been drawn so that the abscissa ...

    Text Solution

    |

  20. if y=4x+3 is parallel to a tangent to the parabola y^2=12x, then its d...

    Text Solution

    |