Home
Class 12
MATHS
Find the equation of the tangent to the ...

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

A

`y=2x`

B

`y=2x-3`

C

`y=2x+3`

D

`y=2x+5`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • NTA JEE MOCK TEST 49

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos
  • NTA JEE MOCK TEST 51

    NTA MOCK TESTS|Exercise MATHEMATICS|25 Videos

Similar Questions

Explore conceptually related problems

Find the equation of the normal to the parabola y^(2)=4x which is parallel to y-2x+5=0

Find the equation of the normal to the parabola y^2=4x which is parallel to the line y=2x-5.

The equation of the tangent to the parabola y^(2) = 8x, which is parallel to the line 2x-y+7=0 ,will be

Find the equation of the tangent to the parabola 3y^(2)=8x, parallel to the line x-3y= 5.

Find the equations of the tangents to the ellipse 4x^(2)+3y^(2)=5, which are parallel to the straight line y=3x+7. Find also the coordinates of the points of contatt of the tangents which are inclined at 60^(@) to the axis of x

Find the equations of the tangents to the hyperbola 4x^2 - 9y^2 = 36 which are parallel to the line 5x-3y=2 .

Find the equation of the normal to the parabola y^(2)=4x , which is (a) parallel to the line y = 2x - 5 (b) perpendicular to the line x + 3y + 1 = 0.

Find the equation of the tangent to the curve x^(2) + 3y = 3 , which is parallel to the line y - 4x + 5 = 0

NTA MOCK TESTS-NTA JEE MOCK TEST 50-MATHEMATICS
  1. The equation of the circle which passes through the point A(0, 5) and ...

    Text Solution

    |

  2. A function f:ZrarrZ is defined as f(n)={{:(n+1,n in " odd integer"),((...

    Text Solution

    |

  3. The value of tan^(-1)[(sqrt(1-sinx)+sqrt(1+sinx))/(sqrt(1-sinx)-sqrt(1...

    Text Solution

    |

  4. The negation of the statement ''If I will become famous then I will op...

    Text Solution

    |

  5. Let a continous and differentiable function f(x) is such that f(x) and...

    Text Solution

    |

  6. The value of int(1)/((2x-1)sqrt(x^(2)-x))dx is equal to (where c is th...

    Text Solution

    |

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

    Text Solution

    |

  8. The area of the smaller part of the circle x^(2)+y^(2)=2 cut off by th...

    Text Solution

    |

  9. If a and b are arbitrary constants, then the order and degree of the d...

    Text Solution

    |

  10. veca, vecb and vecc are coplanar unit vectors. A unit vector vecd is p...

    Text Solution

    |

  11. Direction cosines to the normal to the plane containing the lines (x)/...

    Text Solution

    |

  12. If alpha, beta and gamma are the roots of the equation x^(3)-3x^(2)+4x...

    Text Solution

    |

  13. For the equation (1-ix)/(1+ix)=sin.(pi)/(7)-i cos.(pi)/(7), if x=tan((...

    Text Solution

    |

  14. Shubham has 75% chance of attending the annual meet. Shikha has a 90% ...

    Text Solution

    |

  15. Let A and B be two matrices such that the order of A is 5xx7. If A^(T)...

    Text Solution

    |

  16. The value of lim(xrarroo)(e^(x+1)log(x^(3)e^(-x)+1))/(sin^(3)(2x)) is ...

    Text Solution

    |

  17. A continous function f(x) is such that f(3x)=2f(x), AA x in R. If int(...

    Text Solution

    |

  18. The sum of 50 terms of the series 3+7+13+21+31+43+…. is equal to S(50)...

    Text Solution

    |

  19. If theta is the angle between the pair of tangents drawn to the ellips...

    Text Solution

    |

  20. The mean and variance of 5 observations are 6 and 6.8 respectively. If...

    Text Solution

    |