Home
Class 12
MATHS
The normal at the point (1,1) on the cur...

The normal at the point (1,1) on the curve `2y+x^2=3`is
(A) `x + y = 0`
(B) `x y = 0`
(C) `x + y +1 = 0`
(D) `x y = 0`

Text Solution

AI Generated Solution

To find the equation of the normal at the point (1, 1) on the curve given by the equation \(2y + x^2 = 3\), we will follow these steps: ### Step 1: Differentiate the curve equation We start with the equation of the curve: \[ 2y + x^2 = 3 \] To find the slope of the tangent line, we need to differentiate this equation with respect to \(x\). ...
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINE IN SPACE

    RD SHARMA ENGLISH|Exercise All Questions|159 Videos
  • THE PLANE

    RD SHARMA ENGLISH|Exercise All Questions|305 Videos

Similar Questions

Explore conceptually related problems

The normal to the curve x^2=4y passing (1,2) is (A) x + y = 3 (B) x y = 3 (C) x + y = 1 (D) x y = 1

The following line(s) is (are) tangent to the curve y=x^2 - x (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

Which of the following lines have the intercepts of equal lengths on the circle, x^2+y^2-2x+4y=0 (A) 3x -y= 0 (B) x+3y=0 (C) x+3y+10=0 (D) 3x-y-10=0

for every point (x,y,z) on the y-axis: (A) x=0,y=0 (B) x=0,z=0 (C) y=0,z=0 (D) y!=0,x=0,z=0

Tangents OA and OB are drawn from the origin to the circle (x-1)^2 + (y-1)^2 = 1 . Then the equation of the circumcircle of the triangle OAB is : (A) x^2 + y^2 + 2x + 2y = 0 (B) x^2 + y^2 + x + y = 0 (C) x^2 + y^2 - x - y = 0 (D) x^2+ y^2 - 2x - 2y = 0

The equation to the normal to the curve y=sinx at (0,\ 0) is (a) x=0 (b) y=0 (c) x+y=0 (d) x-y=0

The equation of straight line belonging to both the families of lines (x-y+1)+lambda_1(2x-y-2)=0 and (5x+3y-2)+lambda_2(3x-y-4)=0 where lambda_1, lambda_2 are arbitrary numbers is (A) 5x -2y -7=0 (B) 2x+ 5y - 7= 0 (C) 5x + 2y -7 =0 (D) 2x- 5y- 7= 0

The equation of the normal to the curve y=x(2-x) at the point (2,\ 0) is (a) x-2y=2 (b) x-2y+2=0 (c) 2x+y=4 (d) 2x+y-4=0

The lines parallel to the normal to the curve x y=1 is/are (a) 3x+4y+5=0 (b) 3x-4y+5=0 (c) 4x+3y+5=0 (d) 3y-4x+5=0

The matrix [(0,1),(1,0)] is the matrix of reflection in the line (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

RD SHARMA ENGLISH-TANGENTS AND NORMALS-All Questions
  1. The equaiton of the normal to the curve 3x^(2) - y^(2) = 8 which is ...

    Text Solution

    |

  2. The equation of tangent at those points where the curve y=x^2-3x+2 m...

    Text Solution

    |

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

    Text Solution

    |

  4. At what points the slope of the tangent to the curve x^2+y^2-2x-3=0 ...

    Text Solution

    |

  5. The angle of intersection of the curves x y=a^2 and x^2-y^2=2a^2 is ...

    Text Solution

    |

  6. If the curve a y+x^2=7 and x^3=y cut orthogonally at (1,\ 1) , then a ...

    Text Solution

    |

  7. If the line y=x touches the curve y=x^2+b x+c at a point (1,\ 1) then ...

    Text Solution

    |

  8. The slope of the tangent to the curve x=3t^2+1 , y=t^3-1 at x=1 is ...

    Text Solution

    |

  9. The curves y=a e^x and y=b e^(-x) cut orthogonally, if (a)a=b (b) a=...

    Text Solution

    |

  10. The equation of the normal to the curve x=a\ cos^3theta,\ \ y=a\ sin...

    Text Solution

    |

  11. If the curves y=2\ e^x and y=a e^(-x) intersect orthogonally, then a...

    Text Solution

    |

  12. The point on the curve y=6x-x^2 at which the tangent to the curve is...

    Text Solution

    |

  13. The angle of intersection of the parabola y^2=4\ a x and x^2=4a y at...

    Text Solution

    |

  14. The angle of intersection of the curves y=2\ sin^2x and y=cos2\ x at...

    Text Solution

    |

  15. Any tangent to the curve y=2x^7+3x+5 (a) is parallel to x-axis ...

    Text Solution

    |

  16. The point on the curve 9y^2=x^3 , where the normal to the curve mak...

    Text Solution

    |

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

    Text Solution

    |

  18. The line y=m x+1 is a tangent to the curve y^2=4x , if the value of ...

    Text Solution

    |

  19. The normal at the point (1,1) on the curve 2y+x^2=3is (A) x + y = 0 ...

    Text Solution

    |

  20. The normal to the curve x^2=4y passing (1,2) is (A) x + y = 3 (B) x ...

    Text Solution

    |