Home
Class 12
MATHS
Tangent at a point P1\ (ot h e r\ t h a ...

Tangent at a point `P_1\ (ot h e r\ t h a n\ (0,0)` on the curve `y=x^3` meets the curve again at `P_2dot` The tangent at `P_2` meets the curve again at `P_3` and so on. Show that the abscissae of `P_1,\ P_2,\ P_n` form a `G P` . Also find the ratio `(a r e a\ ( P_1P_2P_3))/(a r e a\ ( P_2P_3P_4))dot`

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

Tangent at a point P_(1) [other than (0,0)] on the curve y=x^(3) meets the curve again at P_(2) . The tangent at P_(2) meets the curve at P_(3) & so on.Show that the abscissae of P_(1),P_(2),P_(3),.......P_(n), form a GP.Also find the ratio area of A(P_(1)P_(2)P_(3).) area of Delta(P_(2)P_(3)P_(4))

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q.Find coordinates of Q.

Tangent at P(2,8) on the curve y=x^(3) meets the curve again at Q. Find coordinates of Q.

If the tangent at the point (p,q) to the curve x^(3)+y^(2)=k meets the curve again at the point (a,b), then

The normal at P(ct,(c )/(t)) to the hyperbola xy=c^2 meets it again at P_1 . The normal at P_1 meets the curve at P_2 =

If the tangent at a point P with parameter t on the curve x=4t^(2)+3,y=8t^(3)-1t in R meets the curve again at a point Q, then the coordinates of Q are

RESONANCE DPP-JEE MAINS-All Questions
  1. "I f"I1=int0^1prod(r=1)^(2016)(r-x)dxa n dI2=int0^1prod(r=0)^(2015)(r+...

    Text Solution

    |

  2. Solve the following differential equations. 3(dy)/(dx)+(2y)/(x+1)=(x^...

    Text Solution

    |

  3. Tangent at a point P1\ (ot h e r\ t h a n\ (0,0) on the curve y=x^3 me...

    Text Solution

    |

  4. int(e^x(2-x^2))/((1-x)sqrt(1-x^2))dx= e^xdotsqrt((1-x)/(1+x))+c (b) ...

    Text Solution

    |

  5. solving the following equations : (i) |x-3| = x-1 (ii) |x^(2)-3x|=...

    Text Solution

    |

  6. Let f(x)=intx^2(2x+6tanx-2xtan^2x) cos^2xdxa n df(x) passes through th...

    Text Solution

    |

  7. In a geometric progression consisting of positive terms, each term ...

    Text Solution

    |

  8. For each positive integer n , let f(n+1)=n(-1)^(n+1)-2f(n) and f(1)=(2...

    Text Solution

    |

  9. Solve the following equations : (i) |x^(2)-2| = 2 |x-3| (ii) |x^(2...

    Text Solution

    |

  10. If the function f(x)=(4,sin ^2 x-1)^n(x^2-x+1)n in N has a local maxim...

    Text Solution

    |

  11. The value of ("lim")(xvec0)[1/n+(e^(1/n))/n+(e^(2/n))/n++(e^((n-1)/n))...

    Text Solution

    |

  12. Number of roots of the equation 2sqrt(2x+1)=2x-1 is 0 (b) 1 (c) 2 (...

    Text Solution

    |

  13. f(x)=|a x-b|+c|x|AAx in (-oo,oo), where a >0, b >0,c > 0. Find the con...

    Text Solution

    |

  14. Let f(0)=0a n dint0^2f^(prime)(2t)e^(f(2t))dt=5.t h e nv a l u eoff(4)...

    Text Solution

    |

  15. The value of c in Rolles theorem for the function f(x)=(x(x+1))/(e^...

    Text Solution

    |

  16. If f(x)=x^3-x^2+100x+2002 ,t h e n f(1000)>f(1001) f(1/(2000))>f(1...

    Text Solution

    |

  17. a,b,c are positive real numbers such that loga(b-c)=logb/(c-a)=logc/(a...

    Text Solution

    |

  18. The system of equations 'alpha' x+y+z=1,x+2y+4z=alpha and x+4y+10 z=...

    Text Solution

    |

  19. If alpha,beta be the roots of the equation (x-a)(x-b)+c=0(c!=0), then ...

    Text Solution

    |

  20. Let f(x) be a function such that f''(x) = f'(x) + e^x and f'(0) =1 ,f(...

    Text Solution

    |