Home
Class 12
MATHS
The measure of the angle of intersection...

The measure of the angle of intersection between `y^(2)=x` and `x^(2)=y` other than one at (0, 0) is …………

A

`"tan"^(-1)(4)/(3)`

B

`"tan"^(-1)(3)/(4)`

C

`(pi)/(4)`

D

`(pi)/(2)`

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise TEXTBOOK ILLUSTRATIONS FOR PRACTICE WORK|51 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise SOLUTIONS OF NCERT EXEMPLAR PROBLEMS (SHORT ANSWER TYPE QUESTIONS)|24 Videos

  • APPLICATION OF DERIVATIVES

    KUMAR PRAKASHAN|Exercise PRACTICE WORK|85 Videos

  • ANNUAL EXAMINATION :SAMPLE PAPER

    KUMAR PRAKASHAN|Exercise PART-B ( SECTION-C)|10 Videos

  • APPLICATION OF INTEGRALS

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER ( SECTION -D)|2 Videos

Similar Questions

Explore conceptually related problems

Find the angle of intersection of the curves y = 4-x^(2) and y=x^(2) .

Find the measure of the angle between the planes 2x-y+z=2 and x+y+2z=3

The measure of the angle between the curves y=2 sin^(2)x and y = cos 2 x at x=(pi)/(6) is ……….

The measure of the angle between pair of lines x=y and y=0 is …………..

Find the measure of angle between the asymptotes of x^(2) -y^(2) = 16

Let |vec(x)|=|vec(y)|=|vec(x)+vec(y)| =1 and if measure of the angle between vec(x) and vec(y) is alpha , then cos alpha = …………

The distance of the point of intersection of the lines 2 x- 3y + 5 = 0 and 3x + 4y =0 from the line 5x-2y =0 is

Prove that the curves y^(2)=4x and x^(2)+y^(2)-6x+1=0 touch each other at the point (1, 2).

Find measure of an angle between the lines x + y = 3 and 2x + 5y - 7 = 0.

Find measure of an angle between the lines x = 3 and 2x - y - 5 = 0

KUMAR PRAKASHAN-APPLICATION OF DERIVATIVES -TEXTBOOK BASED MCQS
  1. f(x)=(x-a)^(2)+(x-b)^(2)+(x-c)^(2) has minimum value at x = …………..

    Text Solution

    |

  2. f(x)=(x+2)e^(-x) is increasing in ………….

    Text Solution

    |

  3. The measure of the angle of intersection between y^(2)=x and x^(2)=y o...

    Text Solution

    |

  4. The point where normal to y=x^(2)-2x+3 is parallel to Y-axis is ……….

    Text Solution

    |

  5. The slope of normal to (3t^(2)+1, t^(3)-1) at t = 1 is ………….

    Text Solution

    |

  6. The equation of normal to 3x^(2)-y^(2)=8 at (2, -2) is ……..

    Text Solution

    |

  7. The angle made by the tangent with the + ve direction of X-axis to x=e...

    Text Solution

    |

  8. The equation of tangent to y=cos x at (0, 1) is ………..

    Text Solution

    |

  9. The equation of normal to y = sin x at ((pi)/(2),1) is ……….

    Text Solution

    |

  10. Find the points on the curve x^(2)+y^(2)-2x-3=0 at which the tangents ...

    Text Solution

    |

  11. The point on y^(2)=x where tangent makes angle of measure (pi)/(4) wit...

    Text Solution

    |

  12. A cone with its height equal to the diameter of the base is expanding ...

    Text Solution

    |

  13. The rate of increase of f(x)=x^(3)-5x^(2)+5x+25 is twice the rate of i...

    Text Solution

    |

  14. The radius of the cone is increasing at the rate of 4 cm/se. Its heigh...

    Text Solution

    |

  15. The rate of change of surface area of a sphere w.r.t. radius is ………..

    Text Solution

    |

  16. The rate of change of volume of a cylinder w.r.t. radius whose radius ...

    Text Solution

    |

  17. f(x)=tan^(-1)x-x, is …………

    Text Solution

    |

  18. f(x)=2x-tan^(-1)x-log|x+sqrt(1+x^(2))| is ……….. (x in R)

    Text Solution

    |

  19. If ……….., then f(x)=x^(2)-kx+20, [0,3] is strictly increasing.

    Text Solution

    |

  20. f(x)=|x-1|+|x-2| is increasing if ………..

    Text Solution

    |