Home
Class 12
MATHS
Let the line y = mx intersects the curve...

Let the line `y = mx` intersects the curve `y^2 = x` at P and tangent to `y^2 = x` at P intersects x-axis at Q. If area (`triangle`OPQ) = 4, find `m (m gt 0)`.

Text Solution

Verified by Experts

The correct Answer is:
0.50
Promotional Banner

Topper's Solved these Questions

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise QUESTION|1 Videos

  • JEE MAIN

    JEE MAINS PREVIOUS YEAR|Exercise MATHEMATICS|125 Videos

  • INVERSE TRIGONOMETRIC FUNCTIONS

    JEE MAINS PREVIOUS YEAR|Exercise All Questions|3 Videos

  • JEE MAIN 2021

    JEE MAINS PREVIOUS YEAR|Exercise Mathematic section B|10 Videos

Similar Questions

Explore conceptually related problems

Consider the circle x^2+y^2=9 and the parabola y^2=8x . They intersect at P and Q in the first and fourth quadrants, respectively. Tangents to the circle at P and Q intersect the X-axis at R and tangents to the parabola at P and Q intersect the X-axis at S. The ratio of the areas of trianglePQS" and "trianglePQR is

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x They intersect at P and Q in the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents tothe parabola at P and Q intersect the x-axis at S.The ratio of the areas of the triangles PQS and PQR, is

If the line x-y-1=0 intersect the parabola y^(2)=8x at P and Q, then find the point on intersection of tangents P and Q.

Consider the curves C_(1):|z-2|=2+Re(z) and C_(2):|z|=3 (where z=x+iy,x,y in R and i=sqrt(-1) .They intersect at P and Q in the first and fourth quadrants respectively.Tangents to C_(1) at P and Q intersect the x- axis at R and tangents to C_(2) at P and Q intersect the x -axis at S .If the area of Delta QRS is lambda sqrt(2) ,then find the value of (lambda)/(2)

Consider the ellipse x^2/9+y^2/4=1 and the parabola y^2 = 2x. They intersect at P and Q In the first andfourth quadrants respectively. Tangents to the ellipse at P and Q intersect the x-axis at R and tangents to the parabola at P and Q intersect the x-axis at S The ratio of the areas of the triangles PQS and PQR, is

The straight lines y=+-x intersect the parabola y^(2)=8x in points P and Q, then length of PQ is

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

If line x-2y-1=0 intersects parabola y^(2)=4x at P and Q, then find the point of intersection of normals at P and Q.

A line y=2x+c intersects the circle x^(2)+y^(2)-2x-4y+1=0 at P and Q. If the tangents at P and Q to the circle intersect at a right angle,then |c| is equal to

JEE MAINS PREVIOUS YEAR-JEE MAIN-MATH
  1. Let alpha =(-1+isqrt3)/(2). If a=(1+alpha) sum(k=0)^(100) alpha^(2...

    Text Solution

    |

  2. lambda x + 2y + 2z = 5, 2lambda x + 3y + 5z = 8, 4x + lambda y + 6z =...

    Text Solution

    |

  3. Let veca=hati-2hatj+hatkand vecb=hati-hatj+hatk be two vectors. If vec...

    Text Solution

    |

  4. Let f(x) = (x[x])/(x^2+1) : (1, 3) rarr R then range of f(x) is (where...

    Text Solution

    |

  5. lim(xto0) (int(0)^(x)tsin(10t)dt)/(x) is equal to :

    Text Solution

    |

  6. If y = mx + c is a tangent to the circle (x – 3)^2 + y^2 = 1 and also ...

    Text Solution

    |

  7. Normal at (2, 2) to curve x^2 + 2xy – 3y^2 = 0 is L. Then perpendicula...

    Text Solution

    |

  8. Let A and B two events such that the probgability that exactly one of ...

    Text Solution

    |

  9. The differential equation of the family of curves, x^(2)=4b(y+b),b in ...

    Text Solution

    |

  10. Let P be the set of points (x, y) such that x^2 lt y lt – 2x + 3. Then...

    Text Solution

    |

  11. The mirror image of the point (1,2,3) in plane is (-7/3,-4/3, -1/3) . ...

    Text Solution

    |

  12. Mean and variance of 20 observation are 10 and 4. It was found, that i...

    Text Solution

    |

  13. Let coefficient of x^4 and x^2 in the expansion of (x+sqrt(x^2-1))^6+(...

    Text Solution

    |

  14. Solution set of 3^x (3^x –1) + 2 = |3^x –1| + |3^x – 2| contains

    Text Solution

    |

  15. If I= int(1)^(2)(dx)/(sqrt(2x^3-9x^2+12x+4)), then

    Text Solution

    |

  16. The number of four letter words that can be made from the letters of w...

    Text Solution

    |

  17. Let f(x) is a three degree polynomial for which f ' (–1) = 0, f '' (1)...

    Text Solution

    |

  18. If sqrt2(sin alpha)/(sqrt(1+cos2 alpha))=1/7 and sqrt((1-cos2beta)/2)=...

    Text Solution

    |

  19. Let the line y = mx intersects the curve y^2 = x at P and tangent to y...

    Text Solution

    |

  20. The sum Sigma(n=1)^(7) (n(n+1)(2n+1))/(4) is equal to .

    Text Solution

    |