Home
Class 12
MATHS
If the point P(a ,a^2) lies completely i...

If the point `P(a ,a^2)` lies completely inside the triangle formed by the lines `x=0,y=0,` and `x+y=2,` then find the exhaustive range of values of `adot`

A

(0,1)

B

`(1,sqrt(2))`

C

`(sqrt(2)-1,1)`

D

`(sqrt(2)-1,2)`

Text Solution

Verified by Experts

Promotional Banner

Topper's Solved these Questions

  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise Example|3 Videos
  • THE STRAIGHT LINES

    ARIHANT MATHS ENGLISH|Exercise JEE Tyep Solved Examples : (Paragraph Based Questions)|12 Videos
  • SETS, RELATIONS AND FUNCTIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|12 Videos
  • THEORY OF EQUATIONS

    ARIHANT MATHS ENGLISH|Exercise Exercise (Questions Asked In Previous 13 Years Exam)|35 Videos

Similar Questions

Explore conceptually related problems

If the point P(a ,a^2) lies completely inside the triangle formed by the lines x=0,y=0, and x+y=2, then find the exhaustive range of values of a is (A) (0,1) (B) (1,sqrt2) (C) (sqrt2 -1,1) (D) (sqrt2 -1,2)

Find the area of the triangle formed by the lines y-x=0,x+y=0 and x-k=0 .

Find the area of the triangle formed by the lines y-x=0,x+y=0 and x-k=0 .

If point P(alpha, alpha^2-2) lies inside the triangle formed by the lines x + y=1 , y=x + 1 and y=-1 then alpha in

Find the area of the triangle formed by the lines y-x=0, x+y=0 and x-k=0 .

The point (-2,a) lies in the interior of the triangle formed by the lines y=x,y=-x and 2x+3y=6 the integral value of a is

Find the area of triangle formed by the lines : y=0,\ x=2\ a n d\ x+2y=3.

If both the roots of a x^2+a x+1=0 are less than 1, then find the exhaustive range of values of adot

Find the area of the triangle formed by the lines y+x-6=0, 3y-x+2=0 and 3y=5x+2 .

If both the roots of x^2+a x+2=0 lies in the interval (0, 3), then find the exhaustive range of value of adot

ARIHANT MATHS ENGLISH-THE STRAIGHT LINES-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If the point P(a ,a^2) lies completely inside the triangle formed by t...

    Text Solution

    |

  2. The line parallel to the x-axis and passing through the intersection o...

    Text Solution

    |

  3. A straight line through the point A (3,4) is such that its intercept b...

    Text Solution

    |

  4. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  5. Let P-=(-1,0),Q-=(0,0), "and " R-=(3,3sqrt(3)) " be three points". T...

    Text Solution

    |

  6. The perpendicular bisector of the line segment joining P (1, 4) and...

    Text Solution

    |

  7. The lines p(p^2+1)x-y+q=0 and (p^2+1)^2x+(p^2+1)y+2q=0 are perpendicul...

    Text Solution

    |

  8. The Line L given by (x)/(5) + (y)/(b) =1 passes through the point (13,...

    Text Solution

    |

  9. A straight line L through the point (3,-2) is inclined at an angle 60^...

    Text Solution

    |

  10. The line L1:""y""-""x""=""0 and L2:""2x""+""y""=""0 intersect the line...

    Text Solution

    |

  11. If the line 2x+y=k passes through the point which divides the line seg...

    Text Solution

    |

  12. A ray of light along x+sqrt(3) y = sqrt(3) gets reflected upon reachin...

    Text Solution

    |

  13. For a gt b gt c gt 0, the distance between (1, 1) and the point of int...

    Text Solution

    |

  14. Let P S be the median of the triangle with vertices P(2,2),Q(6,-1)a...

    Text Solution

    |

  15. Let a, b, c and d be non-zero numbers. If the point of intersection of...

    Text Solution

    |

  16. For a point P in the plane, let d(1)(P) " and " d(2)(P) be the distanc...

    Text Solution

    |

  17. The number of points, having both co-ordinates as integers, that lie i...

    Text Solution

    |

  18. Two sides of a rhombus are along the lines x-y+1=0 and 7x-y-5=0. If it...

    Text Solution

    |