Home
Class 12
MATHS
Two lines drawn through the point P (4, ...

Two lines drawn through the point P (4, 0) divide the area bounded by the curve `y=sqrt(2)sin.(pi x)/(4)` and x-axis, between the lines x = 2 and x = 4, in to three equal parts. Sum of the slopes of the drawn lines is equal to:

A

`(-2sqrt(2))/(pi)`

B

`(-sqrt(2))/(pi)`

C

`(-2)/(pi)`

D

`(-4sqrt(2))/(pi)`

Text Solution

Verified by Experts

The correct Answer is:
A
Promotional Banner

Topper's Solved these Questions

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Main (Archive)|64 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • INTEGRAL CALCULUS - 2

    VMC MODULES ENGLISH|Exercise JEE Advanced (Archive)|103 Videos

  • FUNCTIONS

    VMC MODULES ENGLISH|Exercise JEE Main & Advanced|8 Videos

  • INTEGRAL CALCULUS-1

    VMC MODULES ENGLISH|Exercise JEE ADVANCED (ARCHIVE)|25 Videos

Similar Questions

Explore conceptually related problems

Find the area of the region bounded by the curves y=sqrt(x+2) and y=(1)/(x+1) between the lines x=0 and x=2.

The area bounded by the curve y^(2) = 4x and the line 2x-3y+4=0 is

The ratio in which the line x-1=0 divides the area bounded by the curves 2x+1=sqrt(4y+1),y=x and y=2 is

The area bounded by the curve y = (1)/(2)x^(2) , the X-axis and the lines x = 2 is

The area bounded by the curve x = sin^(-1) y , the x-axis and the lines |x| = 1 is

Find the area bounded by the curve y^2=4a x and the lines y=2\ a n d\ y-axis.

The area bounded by the curve y=(1)/(sqrt(x)) and the lines x = 4 and x = 9 is

The area bounded by the curve f(x)=||tanx+cotx|-|tanx-cotx|| between the lines x=0,x=pi/2 and the X-axis is

The area bounded by the curve y=4x-x^2 and the x -axis is:

If the ordinate x = a divides the area bounded by the curve y=1+(8)/(x^(2)) and the ordinates x=2, x=4 into two equal parts, then a is equal to

VMC MODULES ENGLISH-INTEGRAL CALCULUS - 2 -Level - 1
  1. Area of the region which consists of all the points satisfying the con...

    Text Solution

    |

  2. A point P(x,y) moves such that [x+y+1]=[x]. Where [.] denotes greatest...

    Text Solution

    |

  3. Two lines drawn through the point P (4, 0) divide the area bounded by ...

    Text Solution

    |

  4. The area of the smaller region in which the curve y=[(x^(3))/(100)+(x...

    Text Solution

    |

  5. Consider a rectangle ABCD formed by the points A=(0,0), B= (6, 0), C =...

    Text Solution

    |

  6. If f'(x) = f(x)+ int (0)^(1)f (x) dx and given f (0) =1, then int f (x...

    Text Solution

    |

  7. (sin 2 kx)/(sin x)=2[cos x + cos 3 x + …+cos (2k -1)x], then value of ...

    Text Solution

    |

  8. If int0^1(sint)/(1+t)dt=alpha, then the value of the integral int(4pi-...

    Text Solution

    |

  9. If n gt 1. Evaluate underset(0)overset(oo)int(dx)/((x+sqrt(1+x^(2)))^(...

    Text Solution

    |

  10. Let f(x) and g(x) be two functions satisfying f(x^(2))+g(4-x)=4x^(3),...

    Text Solution

    |

  11. f,g,h are continuous in [0,1],f(a-x)=f(x),g(a-x)=-g(x),3h(x)-4h(a-x)=5...

    Text Solution

    |

  12. The value of int(1)^(e)((tan^(-1))/x+(logx)/(1+x^(2)))dx is

    Text Solution

    |

  13. Area bounded by x-axis and the curve f(x) = e^[x].e^|x|.e^{x} between ...

    Text Solution

    |

  14. P(x) is a non-zero polynomial such that P(0)=0 and P(x^3)=x^4P(x),P'(1...

    Text Solution

    |

  15. Let lambda=int0^1(dx)/(1+x^3), p=lim(n rarr oo)[prod(r=1)^n(n^3+r^3)/(...

    Text Solution

    |

  16. Let f: (0, infty) rarr R and F (x) = int(0) ^(x) f(t) dt . If F(x^(2)...

    Text Solution

    |

  17. If f(x) is a function satisfying f(1/x)+x^2f(x)=0 for all nonzero x , ...

    Text Solution

    |

  18. The value of int1^2(x^([x^2])+[x^2]^x)dx, where [.] denotes the greate...

    Text Solution

    |

  19. if f(x) = |(cosx,e^(x^(2)),2x cos ^(2) x//2),(x^(2) ,sec x,sin x + x^(...

    Text Solution

    |

  20. Evaluate: int0^2(dx)/((17+8x-4x^2)[e^(6(1-x))+1)

    Text Solution

    |