Home
Class 12
MATHS
If the tangent drawn to parabola y=x^2-5...

If the tangent drawn to parabola `y=x^2-5x+5` at a point is parallel to `2y=4x+lamda`. Then the tangent passes through the point. (A) `(3/4, 5/2)` (B) `(-1/8, 7)` (C) `(1,3)` (D) `(1/8,-7)`

Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise MATH|21 Videos

  • LIMITS AND DERIVATIVES

    JEE MAINS PREVIOUS YEAR ENGLISH|Exercise All Questions|5 Videos

Similar Questions

Explore conceptually related problems

For the curve y=4x^3-2x^5, find all the points at which the tangent passes through the origin.

For the curve y=4x^3-2x^5 find all points at which the tangent passes through the origin.

For the curve y=4x^3-2x^5, find all the points at which the tangents pass through the origin.

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1) .

The tangent to the curve y=x^2-5x+5. parallel to the line 2y=4x+1, also passes through the point :

A tangent is drawn to the circle 2(x^(2)+y^(2))-3x+4y=0 and it touches the circle at point A. If the tangent passes through the point P(2, 1),then PA=

Find the equation of tangents drawn to the parabola y=x^2-3x+2 from the point (1,-1)dot

Find the equation of the tangent to the parabola y^2 = 4x + 5 which is parallel to the straight line y= 2x+7

At what points on the curve y=2x^2-x+1 is the tangent parallel to the line y=3x+4 ?

Find a point on the parabola y=(x-4)^2 , where the tangent is parallel to the chord joining (4, 0) and (5, 1).

JEE MAINS PREVIOUS YEAR ENGLISH-JEE MAINS-All Questions
  1. A line passes through (-3,4) and the portion of the line intercepted b...

    Text Solution

    |

  2. There are 60 students in a class, out of which 40 opt for NCC, 30 opt ...

    Text Solution

    |

  3. If the tangent drawn to parabola y=x^2-5x+5 at a point is parallel to ...

    Text Solution

    |

  4. Let f(x)=x^3-3(a-2)x^2+3ax+7 and f(x) is increasing in (0,1] and decre...

    Text Solution

    |

  5. A circle of radius r passes through origin and cut the x-axis and y-ax...

    Text Solution

    |

  6. If y(x) satisfies the differential equation (dy)/(dx)=(x^2-2y)/x where...

    Text Solution

    |

  7. If alpha, betaepsilon(0, pi/2) and if sin^4alpha+4cos^4beta+2=4sqrt2 s...

    Text Solution

    |

  8. A plane passing through three points (-lamda^2, 1, 1) (1, -lamda^2, 1)...

    Text Solution

    |

  9. If f(1)=2, f\'(x)=f(x) and h(x)=fof(x) then h'\(1) is equal to ...

    Text Solution

    |

  10. Let A={x:xepsilonz and 2^((x+2)(x^2-5x+6))=1}, B={x:xepsilonz and -3lt...

    Text Solution

    |

  11. The number of irrational terms in expansion (7^(1/5)-3^(1/10))^60 is ...

    Text Solution

    |

  12. The equation of a tangent to the parabola, x^(2)=8y, which makes an an...

    Text Solution

    |

  13. Let S and S' be the foci of the ellipse and B be any one of the extrem...

    Text Solution

    |

  14. Let f(x)=(1+m)x^2-2(1+3m)x+4(1+2m). Number of integral values of m fo...

    Text Solution

    |

  15. Point P is at a height of 25m from surface of lake. The angel of eleva...

    Text Solution

    |

  16. The set of all values of lambda for which the system of linear equatio...

    Text Solution

    |

  17. Let a1, a2,...,a30 be an AP, S=sum(i=1)^(30)ai and T=sum(i=1)^(15)a(2i...

    Text Solution

    |

  18. The area (in sq. units) bounded by the parabola y=x^2-1, the tangent a...

    Text Solution

    |

  19. If the system of linear equations x - 4y + 7z = g 3y - 5z = h -2...

    Text Solution

    |

  20. The logical statement [~(~pvee q) vee (p vee r) wedge (~q wedge r)] i...

    Text Solution

    |