Home
Class 12
MATHS
The point on the curve y^(2)=x, where th...

The point on the curve `y^(2)=x`, where the tangent makes an angle of `(pi)/(4)` with x-axis is :

A

(1/2, 1/4)

B

(1/4, 1/2)

C

(4,2)

D

(1,1)

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • BINOMIAL THEOREM

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|200 Videos

Similar Questions

Explore conceptually related problems

The point on the curve y^(2) = x where the tangent makes an angle (pi)/(4) with X-axis is

The point on the parabola y^(2)=16 x where the tangent makes an angle 60^(circ) with the x -axis is

The point on the curve y = 6x-x^(2) where the tangent is parallel to x-axis is

The point(s) on the curve y^(3)+3x^(2)=12y , where the tangent is vertical, is (are) :

The abscissae of the points of the curve y=x(x-2)(x-4) , where tangents are parallel to x-axis, is obtained as :

The point on the curve y=x^(2) , where slope of the tangent is equal to the x-coordinate of the point is :

Find a point on the curve y=(x-2)^(2) at which the tangent is parallel to the x-axis .

The point on the curve y=(x-3)^(2) , where the tangent is parallel to the chord joining (3, 0) and (4, 1) is :

Find the points on the curve x^(2) + y 2 – 2x – 3 = 0 at which the tangents are parallel to the x-axis.

Find the point on the curve y=x^(3)-3x at which tangent is parallel to X-axis.

HIMALAYA PUBLICATION-APPLICATION OF DIFFERENTIATION-QUESTION BANK
  1. The tangent to the curve given by : x=e^(t)cos t, y=e^(t) sin t at ...

    Text Solution

    |

  2. The equation of the normal to the curve y=sinx at (0, 0) is :

    Text Solution

    |

  3. The point on the curve y^(2)=x, where the tangent makes an angle of (p...

    Text Solution

    |

  4. The sides of an equilateral triangle are increasing at the rate of 2 c...

    Text Solution

    |

  5. A ladder, 5 meter long, standing on a horizontal floor, leans against ...

    Text Solution

    |

  6. The curve y=x^(1//5) has at (0, 0) :

    Text Solution

    |

  7. The equation of the normal to the curve 3x^(2)-y^(2) =8 which is paral...

    Text Solution

    |

  8. If the curve ay + x^(2) =7 and x^(3) = y, cut orthogonally at (1,1), t...

    Text Solution

    |

  9. The equation of the tangent to the curve y(1+x^(2)) = 2-x, where it cr...

    Text Solution

    |

  10. Find points at which the tangent to the curve y = x^(3) - 3x^(2) - 9x ...

    Text Solution

    |

  11. The tangent to the curve y = e^(2x) at the point (0,1) meets x-axis at

    Text Solution

    |

  12. The slope of the tangent to the curve x=t^(2)+3t-8,y=2t^(2)-2t-5 at th...

    Text Solution

    |

  13. A cylindrical tank of radius 10m is being filled with wheat at the rat...

    Text Solution

    |

  14. The radius of a circular plate is increasing at the rate of 0.01cm/sec...

    Text Solution

    |

  15. The approximate value of root (3) (63) correct to four decimal places ...

    Text Solution

    |

  16. Approximate value of f(x) = 2x^(3)+7x+1 at x = 2.001 is

    Text Solution

    |

  17. The approximate value of tan (45^(o), 30^(')) given 1^(o) = 0.0175 rad...

    Text Solution

    |

  18. Find the value of cos60^(@) cos 30^(@)-sin 60^(@) sin 30^(@)

    Text Solution

    |

  19. If the radius of a sphere is measured as 7 m with an error of 0.02m, t...

    Text Solution

    |

  20. Each edge of a cube is increased by 50%. Find the percentage increase ...

    Text Solution

    |