Home
Class 12
MATHS
The line y = x + 1is a tangent to the c...

The line `y = x + 1`is a tangent to the curve `y^2=4x`at the point(A) `(1, 2)` (B)`(2, 1)` (C) `(1, 2)` (D) `( 1, 2)`

Text Solution

AI Generated Solution

To determine if the line \( y = x + 1 \) is a tangent to the curve \( y^2 = 4x \) at the given points, we will follow these steps: ### Step 1: Find the slope of the line The equation of the line is given as \( y = x + 1 \). The slope \( m_1 \) of this line can be directly identified from the equation, which is the coefficient of \( x \). \[ m_1 = 1 \] ...
Promotional Banner

Topper's Solved these Questions

  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise SOLVED EXAMPLES|51 Videos
  • APPLICATION OF DERIVATIVES

    NCERT ENGLISH|Exercise EXERCISE 6.2|19 Videos
  • APPLICATION OF INTEGRALS

    NCERT ENGLISH|Exercise EXERCISE 8.2|7 Videos

Similar Questions

Explore conceptually related problems

The line y = m x + 1 is a tangent to the curve y^2=4x if the value of m is (A) 1 (B) 2 (C) 3 (D) 1/2

The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(A) 1 (B) 2(C) 3(D) 1/2.

The line y=m x+1 is a tangent to the curve y^2=4x , if the value of m is (a) 1 (b) 2 (c) 3 (d) 1/2

The slope of the tangent to the curve (y-x^5)^2=x(1+x^2)^2 at the point (1,3) is.

The tangents to the curve x^(2) + y^(2) = 2 at points (1,1) and (-1,1) are

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The chord of contact of the pair of tangents drawn from each point on the line 2x+y=4 to the parabola y^2=-4x passes through a fixed point : (A) (-2,1) (B) (-2,-1) (C) (1/2,1/4) (D) (-1/2,-1/4)

The tangent to the curve x^(2) = 2y at the point (1,(1)/(2)) makes with the x-axis an angle of

The following line(s) is (are) tangent to the curve y=x^2 - x (A) x-y=0 (B) x+y=0 (C) x-y=1 (D) x+y=1

The point on the curve y=x^2-3x+2 where tangent is perpendicular to y=x is (a) (0,2) (b) (1,\ 0) (c) (-1,\ 6) (d) (2,\ -2)

NCERT ENGLISH-APPLICATION OF DERIVATIVES-EXERCISE 6.3
  1. Find the points on the curve y=x^3at which the slope of the tangent i...

    Text Solution

    |

  2. Show that the tangents to the curve y=7x^3+11 at the points where x =...

    Text Solution

    |

  3. Find the points on the curve x^2+y^2-2x-3=0at which the tangents are ...

    Text Solution

    |

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

    Text Solution

    |

  5. Find the slope of the tangent to the curve y=(x-1)/(x-2), x!=2at x= 10...

    Text Solution

    |

  6. The slope of the tangent to the curve y=x^(3) -x +1 at the point whose...

    Text Solution

    |

  7. Find the slope of the tangent to the curve y=3x^4-4xat x = 4.

    Text Solution

    |

  8. Find the slope of the normal to the curve x=1-asintheta , y=b\ cos^...

    Text Solution

    |

  9. The points at which the tangents to the curve y=x^(3)-12x+18 are paral...

    Text Solution

    |

  10. Find the slope of the tangent to the curve y=x^3-3x+2 at the point wh...

    Text Solution

    |

  11. Find the slope of the normal to the curve x=acos^3theta,y=sin^3thetaat...

    Text Solution

    |

  12. Find the point on the curve y = (x - 2)^(2) at which the tangent is pa...

    Text Solution

    |

  13. Find the point on the curve y=x^3-11x +5 at which the equation of tang...

    Text Solution

    |

  14. Find the equations of the normal to the curve y=x^3+2x+6 which are par...

    Text Solution

    |

  15. Show that the curves x=y^2 and x y=k cut at right angles, if 8k^2=1...

    Text Solution

    |

  16. Find the equations of the tangent and normal to the hyperbola x^(2)/...

    Text Solution

    |

  17. Find the equation of the tangent to the curve y=sqrt(3x-2) which is...

    Text Solution

    |

  18. The slope of the normal to the curve y=2x^2+3sin x at x = 0is(A) 3 (B...

    Text Solution

    |

  19. The line y = x + 1is a tangent to the curve y^2=4xat the point(A) (1...

    Text Solution

    |

  20. Find the equation of the normal at the point (a m^2, a m^3) for the ...

    Text Solution

    |