Home
Class 12
MATHS
If the area by y=x^2+2x-3 and the line y...

If the area by `y=x^2+2x-3` and the line `y=k x+1` is the least, find `k` and also the least area.

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

If the area by y=x^(2)+2x-3 and the line y=kx+1 is the least,find k and also the least area.

Find the area bounded by the curve y=x^2+2x-3 and the line y=x+3 .

Find the area bounded by the curve y = x^(2) + x and the lines x = 0 and x = a. Hence, fnd the greatest or least area which is applicable.

If the area bounded by the parabola y=2-x^(2) and the line y=-x is (k)/(2) sq. units, then the value of 2k is equal to

If the area bounded by the curve y+x^(2)=8x and the line y=12 is K sq. units, then the vlaue of (3K)/(10) is

Find the area bounded by the line y=x and the curve y=x^3

Statement I- The area of bounded by the curves y=x^2-3 and y=kx+2 is least if k=0 . Statement II- The area bounded by the curves y=x^(2)-3 and y=kx+2 is sqrt(k^(2)+20) .

The value of the parameter a such that the area bounded by y=a^(2)x^(2)+ax+1, coordinate axes, and the line x=1 attains its least value is equal to

Sketch the region bounded by the curve, y=1/2(2-3x-2x^2) , below the line y=x+1 , and above the x-axis, also find its area.

RESONANCE DPP-JEE MAINS-All Questions
  1. If |a|<|b|,b-a<1 and a,b are the real roots of the equation x^2-|alpha...

    Text Solution

    |

  2. LetA(z1), B(z2) and C(z3) forms an acute angled triangle in argand pla...

    Text Solution

    |

  3. If the area by y=x^2+2x-3 and the line y=k x+1 is the least, find k an...

    Text Solution

    |

  4. Let z1, z2........ zn be equi-modular non-zero complex numbers such th...

    Text Solution

    |

  5. Two circle S1 and S2 with centre C1&C2 intersect at X&Y. Secants L1&L2...

    Text Solution

    |

  6. If f(n)=int(0)^(2015)(e^(x))/(1+x^(n))dx, then find the value of lim(n...

    Text Solution

    |

  7. If pa n dq are chosen randomly from the set {1,2,3,4,5,6,7,8,9, 10} wi...

    Text Solution

    |

  8. There are six periods in each working day of a school. Find the number...

    Text Solution

    |

  9. Solve the following equation by using the general expressions for root...

    Text Solution

    |

  10. If in 6 trials, X is a binomial variate which follows the relation 9P(...

    Text Solution

    |

  11. If z1,z2,z3 are vertices of a triangle such that |z1-z2|=|z1-z3| then...

    Text Solution

    |

  12. letp(x)=4x^2+6x+4 and q(y)=4y^2-12Y+25. Find the unique pairs of real ...

    Text Solution

    |

  13. The values of 'K' for which the equation |x|^2 (|x|^2 – 2k + 1) = 1 - ...

    Text Solution

    |

  14. The hyperbola (x^2)/(a^2)-(y^2)/(b^2)=1 passes through the point (2, )...

    Text Solution

    |

  15. If A is a square matrix of order 3 such that |A|=2,t h e n|(a d jA^(-1...

    Text Solution

    |

  16. The coefficient of the term independent of x in the expansion of (x/3+...

    Text Solution

    |

  17. If (1+2x^2)^6=1+a1=a2x^2a3x^3++a(12)x^(12) , then the value of express...

    Text Solution

    |

  18. If the line x-1=0 is the directrix of the parabola y^2-k x+8=0 , then ...

    Text Solution

    |

  19. Consider lim(x->0)(a x+b e^(-x)+sinx+1)/(a x-bsinx)=l(l is finite) the...

    Text Solution

    |

  20. The value f the integral int(-pi)^pisinm xsinn xdx , for m!=n(m , n in...

    Text Solution

    |