Home
Class 12
MATHS
The normal to the curve 2x^2+y^2=12 at t...

The normal to the curve `2x^2+y^2=12` at the point `(2,2)` cuts the curve again at `(-(22)/9,-2/9)` (b) `((22)/9,2/9)` `(-2,-2)` (d) none of these

A

`(-(22)/(9),-(2)/(9))`

B

`((22)/(9),(2)/(9))`

C

`(-2,-2) `

D

`(0,sqrt(12))`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option are correct ))|1 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-C( Objective Type Questions ( More than one option is correct ))|5 Videos
  • APPLICATION OF DERIVATIVES

    AAKASH INSTITUTE|Exercise Assignment SECTION-A (Competition Level Questions)|50 Videos
  • APPLICATION OF INTEGRALS

    AAKASH INSTITUTE|Exercise Assignment Section - I Aakash Challengers Questions|2 Videos

Similar Questions

Explore conceptually related problems

The normal to the curve 2x^(2)+y^(2)=12 at the point (2,2) cuts the curve again at (A)(-(22)/(9),-(2)/(9)) (B) ((22)/(9),(2)/(9))(C)(-2,-2)(D) none of these

Find the slope of normal to the curve 3x^(2) - y^(2) =8 at the point (2,2)

The slope of the tangent line to the curve x+y=xy at the point (2,2) is

Find the equation of the normal to the curve x^2-4y^2=9 at (5,-2)

The equation of the normal to the curve y= e^(-2|x|) at the point where the curve cuts the line x=-(1)/(2), is

Find the equation of the normal to the curve y(x^2+4)=16 at (2,2)

The equation of the normal to the curve y=e^(-2|x|) at the point where the curve cuts the line x = 1//2 is

An ellipse has point (1,-1) and (2,-1) as its foci and x+y-5=0 as one of its tangents.Then the point where this line touches the ellipse is ((32)/(9),(22)/(9))( b) ((23)/(9),(2)/(9))((34)/(9),(11)/(9))(d) none of these

If the normal at theta on (x^(2))/(a^(2))+(y^(2))/(b^(2))=1,(a>b) intersects the curve again at phi then

If m denotes the slope of the normal to the curve y= -3 log(9+x^(2)) at the point x ne 0 , then,

AAKASH INSTITUTE-APPLICATION OF DERIVATIVES-Assignment SECTION-B( Objective Type Questions ( One option is correct ))
  1. The curve given by x+y=e^(xy) has a tangent parallel to the y-axis at ...

    Text Solution

    |

  2. If m is the slope of the tangent to the curve e^(y)=1+x^(2) , then

    Text Solution

    |

  3. The normal to the curve 2x^2+y^2=12 at the point (2,2) cuts the curve ...

    Text Solution

    |

  4. If 1^0=alpha radians, then find the approximate value of cos60^0 1^(pr...

    Text Solution

    |

  5. The sum of the intercepts made on the axes of coordinates by any tange...

    Text Solution

    |

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

    Text Solution

    |

  7. The point(s) on the curve y^3+\ 3x^2=12 y where the tangent is v...

    Text Solution

    |

  8. If f(x)=x^3+4x^2+lambdax+1 is a monotonically decreasing function of x...

    Text Solution

    |

  9. If a function f(x) increases in the interval (a, b). then the function...

    Text Solution

    |

  10. The function f, defined by f(x)=(x^(2))/(2) +In x - 2 cos x increas...

    Text Solution

    |

  11. f(x) =xe^(x(1-x)), then f(x) is

    Text Solution

    |

  12. Which of the following is correct ?

    Text Solution

    |

  13. Find the value of a , if the equation x-sinx=a has a unique r...

    Text Solution

    |

  14. Number of real roots of the equation e^(x-1)-x=0 is

    Text Solution

    |

  15. f(x)=(x)/(sinx ) and g(x)=(x)/(tanx) , where 0 lt x le 1 then in the...

    Text Solution

    |

  16. If f(x)=(p^2-1)/(p^2+1) x^3-3x + log 2 is a decreasing function of x.i...

    Text Solution

    |

  17. Let f(x) = (x-p)^2+ (x -q)^2 + (x - r)^2. Then f(x) has a minimum at ...

    Text Solution

    |

  18. The maximum value of ((1)/(x))^(2x^(2)) is

    Text Solution

    |

  19. If f(x)=alog|x|+b x^2+x has its extremum values at x=-1a n dx=2, then ...

    Text Solution

    |

  20. If x in [-1,1] then the minimum value of f(x)=x^(2)+x+1 is

    Text Solution

    |