Home
Class 12
MATHS
Determine the equation of straight line ...

Determine the equation of straight line which is tangent at one point and normal at any point of the curve `x=3t^2 , y=2t^3`

A

`y+ sqrt3 (x-1) =0`

B

`y- sqrt3(x-1) =0`

C

`y+ sqrt2 (x-2) =0`

D

`y- sqrt2(x-2) =0`

Text Solution

Verified by Experts

The correct Answer is:
C, D
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (COMPREHENSION TYPE PROBLEMS)|16 Videos
  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (MATHCING TYPE PROBLEMS)|1 Videos
  • APPLICATION OF DERIVATIVES

    VIKAS GUPTA (BLACK BOOK)|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|22 Videos
  • AREA UNDER CURVES

    VIKAS GUPTA (BLACK BOOK)|Exercise AXERCISE (SUBJECTIVE TYPE PROBLEMS)|8 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the straight line which is a tangent at one point and normal at another point to the curve y=8t^(3)-1, x=4t^(2)+3 .

The equation of the straight lines which are both tangent and normal to the curve 27x^(2)=4y^(3) are

Find the equations of the tangent and the normal at the point ' t ' on the curve x=a\ s in^3t , y=b\ cos^3t .

Find the equation of the tangent and the normal at the point 't,on the curve x=a sin^(3)t,y=b cos^(3)t

Find the equation of the tangent and the normal at the point 't' on the curve x=a(t+sint), y=a(1-cost)

If a line is tangent to one point and normal at another point on the curve x=4t^(2)+3,y=8t^(3)-1, then slope of such a line is

Find the equation of normal to the curves x=t^(2),y=2t+1 at point

A curve y=f(x) passes through the point P(1,1) . The normal to the curve at P is a(y-1)+(x-1)=0 . If the slope of the tangent at any point on the curve is proportional to the ordinate of the point. Determine the equation of the curve. Also obtain the area bounded by the y-axis, the curve and the normal to the curve at P .

Equation of the tangent at the point t=-3 to the parabola y^(2)=3x is

Equation of the tangent at the point t=-3 to the parabola y^2 = 3x is

VIKAS GUPTA (BLACK BOOK)-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
  1. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

    Text Solution

    |

  2. Let m and n bwe positive integers and x,y gt 0 and x+y =k, where k is ...

    Text Solution

    |

  3. Determine the equation of straight line which is tangent at one point ...

    Text Solution

    |

  4. A curve is such that the ratio of the subnomal at any point to the sum...

    Text Solution

    |

  5. Number of A parabola of the form y= ax^2 +bx+c with a>0 intersectio...

    Text Solution

    |

  6. Find the gradient of the line passing through the point (2,8) and touc...

    Text Solution

    |

  7. The equation x + cos x = a has exactly one positive root. Complete set...

    Text Solution

    |

  8. Given that f (x) is a non-constant linear function. Then the curves :

    Text Solution

    |

  9. f (x) = int (0) ^(x) e ^(t ^(3)) (t ^(2) -1) (t+1) ^(2011) dt (x gt ...

    Text Solution

    |

  10. Let f(x)=sinx+a x+bdot Then which of the following is/are true? f(x)=0...

    Text Solution

    |

  11. Which of the following graphs represent function whose derivatives hav...

    Text Solution

    |

  12. Consider f (x)= sin ^(5) x-1, x in [0, (pi)/(2)], which of the followi...

    Text Solution

    |

  13. If f(x) = x^(a) log x and f(0) = 0 then the value of alpha for which ...

    Text Solution

    |

  14. Which of the following is/are true for the function f(x)= int (0) ^(x)...

    Text Solution

    |

  15. Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a ...

    Text Solution

    |

  16. Let f(x) = {{:( x^(3) + x^(2) - 10 x ,, -1 le x lt 0) , (sin x ,, 0 le...

    Text Solution

    |

  17. Minimum distnace between the curves y ^(2) =x-1and x ^(2) =x-1 and x ^...

    Text Solution

    |

  18. For the equation (e^-x)/(x+1) which of the following statement(s) is/a...

    Text Solution

    |

  19. If y = m x +5 is a tangent to the curve x ^(3) y ^(3) = ax ^(3) +by^(...

    Text Solution

    |

  20. If (f(x)-1) (x ^(2) + x+1)^(2) -(f (x)+1) (x^(4) +x ^(2) +1) =0 AA x...

    Text Solution

    |