Home
Class 12
MATHS
The point on the curve x^(2)+ 2y =10 at...

The point on the curve `x^(2)+ 2y =10 ` at which the tangent to the curve is perpendicular to the line ` 2x-4y=7`, is-

A

`(2,3)`

B

`(-2,3)`

C

`(4,-3)`

D

`(-4,-3)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 3|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 4|30 Videos

  • MCQ ZONE 3

    CHHAYA PUBLICATION|Exercise Question Paper 8|30 Videos

  • MCQ ZONE

    CHHAYA PUBLICATION|Exercise Question Paper 7|80 Videos

  • MCQ's

    CHHAYA PUBLICATION|Exercise QUESTION PAPER 9|66 Videos

Similar Questions

Explore conceptually related problems

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

Using Lagrange's mena value theorem, find a point on the curve y=x^(2) where the tangent to the curve is parallel to the line joining the points (1, 1) and (2, 4).

The slope of the tangent to the curve y=2sqrt2x

Find the equation of the tangent line to the curve y = x^(2) – 2x +7 which is (a) parallel to the line 2x – y + 9 = 0 (b) perpendicular to the line 5y – 15x = 13.

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

Find a point on the curve y = (x – 2)^(2) at which the tangent is parallel to the chord joining the points (2, 0) and (4, 4).

Find the point on the curve 3x^2-4y^2=72 which is nearest to the line 3x+2y+1=0.

The point on the curve y^(2)=x , the tangent at which makes an angle 45^(@) with the x- axis is-

The point (or points) on the curve y^(3)+ 3x^(2) =12y where tangent is vertical is/ are-

Prove that all points on the curve y^(2)=4a[x+a sin(x/a)] at which the tangent is parallel to the x-axis lie on a parabola.

CHHAYA PUBLICATION-MCQ ZONE 3 -Question Paper 2
  1. The equation of tangent to the curve xy^(2)= 4(4-x) where it meets the...

    Text Solution

    |

  2. The normal to the curve x= 3 cos theta - cos^(3) theta , y=3 sin theta...

    Text Solution

    |

  3. The area bounded by the parabolas y=4x^(2), y=(x^(2))/(9) and the stra...

    Text Solution

    |

  4. The point on the curve x^(2)+ 2y =10 at which the tangent to the curv...

    Text Solution

    |

  5. Let x and y be two variables and x gt 0 , xy=1, then the minimum valu...

    Text Solution

    |

  6. The function f(x)= 1- x^(3) - x^(5) is decreasing for -

    Text Solution

    |

  7. The function y=a(1- cos x) is maximum when x is-

    Text Solution

    |

  8. Let f(x)=x^(3) +6x^(2) + px +2 , if the largest possible interval in ...

    Text Solution

    |

  9. In -4 lt x lt 4 , the function f(x)= int(-10)^(x) (t^(4)-4)e^(-4t) dt...

    Text Solution

    |

  10. If a(1),a(2),a(3),a(4),...,a(n) are n positive real numbers whose prod...

    Text Solution

    |

  11. The length of the longest interval in which the function 3 sin x - 4 s...

    Text Solution

    |

  12. The real number x when added to its inverse gives the minimum value of...

    Text Solution

    |

  13. If minimum value of f(x)=x^(2)+2bx +2c^(2) is greater than maximum va...

    Text Solution

    |

  14. Let f(x)=x^(3) + bx^(2) +cx +d, 0 lt b^(2) lt c . Then f(x)-

    Text Solution

    |

  15. If v=(4)/(3)pir^(3), then the rate (in cubic unit ) at which v is incr...

    Text Solution

    |

  16. If the time rate of change of the radius of a sphere is (1)/(2pi), the...

    Text Solution

    |

  17. The length of a side of a cube is 10 cm, if an error of 0.05 cm is mad...

    Text Solution

    |

  18. Let y=2x^(2)-3x +2, if x changes to 3.02 from 3 , then the approximate...

    Text Solution

    |

  19. Objective function of a linear programming problem is a-

    Text Solution

    |

  20. If the rate of change of y with respect to x is 4 and y is changing at...

    Text Solution

    |