Home
Class 11
MATHS
Find the values of alpha so that the poi...

Find the values of `alpha` so that the point `P(alpha^2,alpha)` lies inside or on the triangle formed by the lines `x-5y+6=0,x-3y+2=0a n dx-2y-3=0.`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS AND QUADRATIC EQUATIONS

    CENGAGE ENGLISH|Exercise All Questions|886 Videos
  • DIFFERENT PRODUCTS OF VECTORS AND THEIR GEOMETRICAL APPLICATIONS

    CENGAGE ENGLISH|Exercise Multiple correct answers type|11 Videos

Similar Questions

Explore conceptually related problems

Find the values of alpha so that the point P(alpha^2,alpha) lies inside or on the triangle formed by the lines x-5y+6=0,x-3y+2=0 a n d x-2y-3=0.

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Determine all the values of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines. 2x+3y-1=0 x+2y-3=0 5x-6y-1=0

Find the area of triangle formed by the lines : \ x+y-6=0,\ x-3y-2=0\ a n d\ 5x-3y+2=0

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

Find the values of the parameter a so that the point (a, 2) is an interior point of the triangle formed by the lines x+y-4=0, 3x-7y-8=0and 4x-y-31 = 0.

The complete set of real values of 'a' such that the point lies triangle p(a, sin a) lies inside the triangle formed by the lines x-2y +2= 0; x+y=0 and x-y-pi=0

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

Statement 1: The value of alpha for which the point (alpha,alpha^2) lies inside the triangle formed by the lines x=0,x+y=2 and 3y=x is (0,1)dot Statement 2: The parabola y=x^2 meets the line x+y=2 at (1,1)dot

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

CENGAGE ENGLISH-CONIC SECTIONS-All Questions
  1. Find the slopes of the tangents to the parabola y^2=8x which are norma...

    Text Solution

    |

  2. Find the angle between the tangents drawn from (1, 3) to the parabola ...

    Text Solution

    |

  3. Find the values of alpha so that the point P(alpha^2,alpha) lies insid...

    Text Solution

    |

  4. The locus of the centre of a circle the touches the given circle exter...

    Text Solution

    |

  5. If on a given base B C , a triangle is described such that the sum of ...

    Text Solution

    |

  6. The parametric equation of a parabola is x=t^2+1,y=2t+1. Then find the...

    Text Solution

    |

  7. If the focus of a parabola is (2, 3) and its latus rectum is 8, then f...

    Text Solution

    |

  8. y^2+2y-x+5=0 represents a parabola. Find its vertex, equation of axis,...

    Text Solution

    |

  9. Find the equation of the parabola which has axis parallel to the y-axi...

    Text Solution

    |

  10. Prove that the focal distance of the point (x ,y) on the parabola x^2-...

    Text Solution

    |

  11. Find the points on the parabola y^2-2y-4x=0 whose focal length is 6.

    Text Solution

    |

  12. If the length of the common chord of circle x^2+y^2=4 and y^2=4(x-h) i...

    Text Solution

    |

  13. From a variable point p on line 2x−y-1=0 pair of tangents are draw...

    Text Solution

    |

  14. The locus of the middle points of the focal chords of the parabola, y^...

    Text Solution

    |

  15. If the distance of the point (alpha,2) from its chord of contact w.r.t...

    Text Solution

    |

  16. T P and T Q are tangents to the parabola y^2=4a x at P and Q , respect...

    Text Solution

    |

  17. Find the locus of the midpoint of normal chord of parabola y^2=4ax

    Text Solution

    |

  18. If normal to the parabola y^2-4a x=0 at alpha point intersects the par...

    Text Solution

    |

  19. If the parabolas y^2=4a x and y^2=4c(x-b) have a common normal other t...

    Text Solution

    |

  20. Find the angle made by a double ordinate of length 8a at the vertex of...

    Text Solution

    |