Home
Class 12
MATHS
The shortest distance between the parabo...

The shortest distance between the parabolas `2y^2=2x-1` and `2x^2=2y-1` is `2sqrt(2)` (b) `1/2sqrt(2)` (c) 4 (d) `sqrt((36)/5)`

A

`1/(2sqrt2)`

B

`1/2`

C

`2sqrt2`

D

4

Text Solution

Verified by Experts

The correct Answer is:
A
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 shortest distance between the parabola y^2=4x and circle x^2+y^2-24y+128=0 .

The shortest distance between the curves (x^(2))/(a^(2))-(y^(2))/(b^(2))=1 and 4x^(2)+4y^(2)=a^(2)(bgta) is

The area of the region enclosed between the curves x=y^(2)-1 and x=|x|sqrt(1-y^(2)) is

Find the shortest distance between given lines. (x-1)/1=(y-2)/-1=(z-1)/1 and (x-2)/2=(y+1)/1=(z+1)/2 .

If y= (sqrt(x) + 1/sqrt(x))^2 .Find dy/(dx)

The eccentricity of the conjugate hyperbola of the hyperbola x^2-3y^2=1 is (a) 2 (b) 2sqrt(3) (c) 4 (d) 4/5

The maximum value of the expression |sqrt(sin^2x+2a^2)-sqrt(2a^2-1-cos^2x)| , where aa n dx are real numbers, is sqrt(3) (b) sqrt(2) (c) 1 (d) sqrt(5)

Tangents are drawn to the hyperbola x^2/9-y^2/4=1 parallet to the sraight line 2x-y=1. The points of contact of the tangents on the hyperbola are (A) (9/(2sqrt2),1/sqrt2) (B) (-9/(2sqrt2),-1/sqrt2) (C) (3sqrt3,-2sqrt2) (D) (-3sqrt3,2sqrt2)

The eccentricity of the conic represented by x^2-y^2-4x+4y+16=0 is 1 (b) sqrt(2) (c) 2 (d) 1/2

If the line 2x+sqrt(6)y=2 touches the hyperbola x^2-2y^2=4 , then the point of contact is (-2,sqrt(6)) (b) (-5,2sqrt(6)) (1/2,1/(sqrt(6))) (d) (4,-sqrt(6))

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

    |