Home
Class 12
MATHS
The point of intersection of tangent to ...

The point of intersection of tangent to the curve `y=x^4` at `(1,1)` with the normal to the same curve at `(-1,1)` is (A) `((17)/(15),(13)/(15))` (B) `(7/5,3/5)` (C) `((17)/(15),(23)/(15))` (D) does not exist

Promotional Banner

Topper's Solved these Questions

  • INVERSE TRIGONOMETRIC FUNCTIONS

    RESONANCE DPP|Exercise All Questions|15 Videos
  • MATRICES

    RESONANCE DPP|Exercise All Questions|7 Videos

Similar Questions

Explore conceptually related problems

The point of intersection of tangent to the curve y=x^(4) at (1,1) with the normal to the same curve at (-1,1) is (A)((17)/(15),(13)/(15)) ( textrmB ) ((7)/(5),(3)/(5)) ( textrmC ) ((17)/(15),(23)/(15)) (D) does not exist

Inclination of the normal to the curve xy=15 at the point (3,5) is

Does there exists line/lines which is/are tangent to the curve y=sin x at (x_(1),y_(1)) and normal to the curve at (x_(2),y_(2))?

Find the equation of tangent and normal to the curve y =3x^(2) -x +1 at the point (1,3) on it.

Find the equation of the tangent line to the curve y=x^2-2x+7 which is perpendicular to the line 5y-15 x=13 .

{:((15)/(x) + (2)/(y) = 17),((1)/(x) + (1)/(y)= (36)/(5)):}

If sin theta = ( 8)/(17), then the value of cos theta and tan theta is (a) (15)/(17), (8)/(15) (b) (15)/(8) , (8)/(15) (c) (15)/(17), (15)/(8) (d) None of these

Find the equations of the tangent and the normal to the curve y = x^(4) - 6x^(3) + 13x^(2) - 10x + 5 at the point (1, 3)

(17)/(15)xx(17)/(15)+(2)/(15)xx(2)/(15)-(17)/(15)xx(4)/(15) is equal to (a)0(b)1(c)10(d)11

RESONANCE DPP-JEE MAINS-All Questions
  1. The tangent and normal at P(t), for all real positive t, to the parabo...

    Text Solution

    |

  2. If t a nalpha=5/2, tanbeta=-7/9 where alpha in [pi/2,pi] , then alph...

    Text Solution

    |

  3. The point of intersection of tangent to the curve y=x^4 at (1,1) with ...

    Text Solution

    |

  4. If a^2+b^2+c^2+a b+b c+c alt=0AAa ,b ,c in R , then value of the dete...

    Text Solution

    |

  5. Find the minimum value of (x1-x2)^2+((x1^2)/20-sqrt((17-x2)(x2-13)))^...

    Text Solution

    |

  6. If f(x)=a+b x+c x^2AAa ,b ,c in R and a ,b ,c are distinct, then valu...

    Text Solution

    |

  7. The product of the roots of the equation whose roots are greater by un...

    Text Solution

    |

  8. The number of integral points on the hyperbola x^2-y^2= (2000)^2 is (a...

    Text Solution

    |

  9. If the graphs of the functionsy= log (e)x and y = ax intersect at exac...

    Text Solution

    |

  10. Draw the graphs of y=x-x/(|x|)

    Text Solution

    |

  11. Let f(x) be a differentiable function on [0,8] such that f(1)=3, f(2)=...

    Text Solution

    |

  12. if Sn=1/(3!)+5/(4!)+11/(5!)+19/(6!)+..................tn then:

    Text Solution

    |

  13. If f(x)=int0^1(dt)/(1+|x-t|),t h e nf^(prime)(1/2)i se q u a lto 0 (b...

    Text Solution

    |

  14. If f(x)a n dg(x) are two positive and increasing functions, then which...

    Text Solution

    |

  15. Consider all functions f : {1, 2, 3,4} -> {1, 2, 3,4} which are one-o...

    Text Solution

    |

  16. lf a^2x^2 + bx + c =0 has roots alpha and beta(alpha lt beta) and -p^...

    Text Solution

    |

  17. The distance between two points P and Q is d and the length of their p...

    Text Solution

    |

  18. Evaluate lim(n->oo) [sum(r=1)^n1/2^r] , where [.] denotes the gre...

    Text Solution

    |

  19. If f(x)={1\ \ \ ,\ \ \ if\ xlt=3a x+b\ \ \ ,\ \ \ if\ 3<x<5 7\ \ \ ,\ ...

    Text Solution

    |

  20. The reflection of the point vec a in the plane vec rdot vec n=q ...

    Text Solution

    |