Home
Class 12
MATHS
Find the point on the curve y=x^2 where ...

Find the point on the curve `y=x^2` where the slope of the tangent is equal to the `x-` coordinate of the point.

Promotional Banner

Topper's Solved these Questions

  • EXAM REVISION SERIES

    XII BOARD PREVIOUS YEAR PAPER ENGLISH|Exercise All Questions|19 Videos

Similar Questions

Explore conceptually related problems

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y-coordinate of the point.

Find the points on the curve y=x^3 where the slope of the tangent is equal to x-coordinate of the point.

Find the points on the curve y=x^3 at which the slope of the tangent is equal to the y\ coordinate of the point.

Find the points on the curve y^2=2x^3 at which the slope of the tangent is 3.

Find the point on the curve y=x^2-2x+3 , where the tangent is parallel to x-axis.

Find the points on the curve 2a^2y=x^3-3a x^2 where the tangent is parallel to x-axis.

Find the point on the curve y = x^(2)-3x+2 where tangent is perpendicular to y =x .

Find the equation of the curve passing through the point (0, -2) given that at any point (x , y) on the curve the product of the slope of its tangent and y coordinate of the point is equal to the x-coordinate of the point.

Find a point on the curve y=x^2+x , where the tangent is parallel to the chord joining (0, 0) and (1, 2).

XII BOARD PREVIOUS YEAR PAPER ENGLISH-BOARD PAPER SOLUTIONS-All Questions
  1. Probabilities of solving a specific problem independently by A and ...

    Text Solution

    |

  2. If x=a^(sin^-1 t) ,\ y=a^(cos^-1t) ,\ show that (dy)/(dx)=-y/x

    Text Solution

    |

  3. Find the point on the curve y=x^2 where the slope of the tangent is eq...

    Text Solution

    |

  4. Find the intervals in which the function f given by f(x)=sinx+cosx ,\...

    Text Solution

    |

  5. A factory makes tennis rackets and cricket bats. A tennis racket ta...

    Text Solution

    |

  6. Suppose 5% of men and 0.25% of women have grey hair. A grey haired ...

    Text Solution

    |

  7. 2 tan^(-1) (cos x) = tan^(-1) (2 cosec x)

    Text Solution

    |

  8. Prove that: cot^(-1)((sqrt(1+sinx)+sqrt(1-sinx))/(sqrt(1+sinx)-sqrt(1-...

    Text Solution

    |

  9. Write the value of the following determinant: |[102, 18, 36],[ 1, 3,...

    Text Solution

    |

  10. If x[[2],[ 3]]+y[[-1],[ 1]]=[[10],[ 5]], write the value of x.

    Text Solution

    |

  11. If int0^a3x^2dx=8,\ write the value of a.

    Text Solution

    |

  12. If int((x-1)/(x^2))e^x dx=f(x)e^x+c , then write the value of f(x).

    Text Solution

    |

  13. If the binary operation * on the set Z of integers is defined ...

    Text Solution

    |

  14. If I is the identity matrix and A is a square matrix such that A...

    Text Solution

    |

  15. Write the value of "cot"(tan^(-1)a+cot^(-1)a).

    Text Solution

    |

  16. If x=a(cos t+tsint) and y=a(sint-tcost), then find (d^2y)/(dx^2)

    Text Solution

    |

  17. Write the value of the area of the parallelogram determined by the v...

    Text Solution

    |

  18. Write the value of ( hat ixx hat j). hat k+( hat jxx hat k).\ hati

    Text Solution

    |

  19. If log (x^2+y^2)=2t a n^(-1)\ (y/x), then show that (dy)/(dx)=(x+y)/(x...

    Text Solution

    |

  20. Prove that tan^-1((cosx)/(1+sinx))=pi/4-x/2,\ x in (-pi/2,pi/2)

    Text Solution

    |