Home
Class 12
MATHS
The gradient of the common tangent to th...

The gradient of the common tangent to the two curves `y=x^2-5x+6` and `y=x^2+x+1` is: `-1/3` (b) `-2/3` (c) `-1` (d) `-3`

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 length of the tangent of the curve y=x^(3)+2 at (1 3) is

The slope of the tangent to the curve y = 3x^(2) - 5x + 6 at (1, 4) is

Maximum no,of parallel common tangents of curves y=x^(3)-x^(2)-2x+5 and y=x^(2)-x+3 is

Find the equation of the tangent of the curve y=3x^(2) at (1, 1).

The equation of tangent to the curve y=x^(3)-6x^(2)-2x+3 at x=1 is:

A common tangent to the circles x^(2)+y^(2)=4 and (x-3)^(2)+y^(2)=1 , is

Write the equation of tangent at (1,2) for the curve y=x^(3)+1

The point at which the tangent to the curve y=2x^(2)-x+1 is parallel to y=3x+9 will be

Find the equation of the tangent line to the curve y=(3x^2-1)/x at the point (1,2) is (a) 4x-y-1=0 (b) 4x+y+2=0 (c)x-y-1=0 (d) 4x-y-2=0

RESONANCE DPP-JEE MAINS-All Questions
  1. Let f(x)={sin(pix)/2,0lt=x<1 3-2x ,xgeq1 f(x) has local maxima...

    Text Solution

    |

  2. The product cot123^@*cot133^@*cot137^@*cot147^@, when simplified is e...

    Text Solution

    |

  3. The gradient of the common tangent to the two curves y=x^2-5x+6 and y=...

    Text Solution

    |

  4. Orthocentre of an acute triangle A B C is at the orogin and its circum...

    Text Solution

    |

  5. y=f(x) is a continuous function such that its graph passes through (a ...

    Text Solution

    |

  6. Consider the statement p ; New Delhi is a city. Which of the followin...

    Text Solution

    |

  7. If y = sin^(-1) ( x sqrt(1-x) + sqrtx sqrt( 1- x^2) ) and (dy)/(dx) =...

    Text Solution

    |

  8. The equation of the altitude of the triangle ABC whose vertices are A(...

    Text Solution

    |

  9. ("lim")(xvecpi/2)(a^(cotx)-a^(cosx))/(cotx-cosx)i se q u a lto ln a ...

    Text Solution

    |

  10. Comprehension (Q. 5 & 6) Let A B be any chord of the circle x^2+y^2-2x...

    Text Solution

    |

  11. If f(x)=2/sqrt3 tan^-1((2x+1)/sqrt3) -ln(x^2+x+1)+(k^2-5k+3)x+10 ...

    Text Solution

    |

  12. If the lines L1:2x-3y-6=0,L2: x+y-4=0 and L3: x+2 and tanA ,tanB an...

    Text Solution

    |

  13. The quadratic equation, a (x -b)(x-c) + b (x-c)(x-a) + c (x-a) (x-b)=0...

    Text Solution

    |

  14. If sintheta+sinvarphi=a and costhetavarphi+cosvarphi=b , then cos(...

    Text Solution

    |

  15. If y=x+e^x , then (d^2x)/(dy^2) is equal to

    Text Solution

    |

  16. Locus of the point of intersection of perpendicular tangents on the ...

    Text Solution

    |

  17. Range of function f(x)=a r ccot(2x-x^2), is [pi/4,(3pi)/3] (b) [0,pi/...

    Text Solution

    |

  18. A circle S of radius ' a ' is the director circle of another circle S1...

    Text Solution

    |

  19. If | vec a|=3,| vec b|=4 then a value of lambda for which vec a+lambd...

    Text Solution

    |

  20. Number of solutions of the equation 2^x+3^x+4^x-5^x=0 is 0 (b) 1 (c...

    Text Solution

    |