Home
Class 11
MATHS
Determine all the values of alpha for wh...

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`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • SEQUENCES AND SERIES

    CENGAGE ENGLISH|Exercise All Questions|508 Videos
  • TRIGONOMETRIC FUNCTIONS

    CENGAGE ENGLISH|Exercise All Questions|983 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=0a n dx-2y-3=0.

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.

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

Find all the values of theta for which the point (sin^2theta,sintheta) lies inside the square formed by the line x y=0 and 4x y-2x-2y+1=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

Determine the range of values of 0 in [ 0,2 pi] for which (cos theta ,sin theta ) lies inside the triangle formed by the lines x+y-2=0, x - y - 1 = 0 and 6x + 2y - sqrt(10) = 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

The range of value of alpha such that (0,alpha) lies on or inside the triangle formed by the lines y + 3x + 2 = 0, 3y - 2x - 5 = 0, 4y + x - 14 =0 is

Set of value of alpha for which the point (alpha,1) lies inside the circle x^(2)+y^(2)-4=0 and parabola y^(2)=4x is

The complete set of values of the parameter alpha so that the point P(alpha, (1 +alpha^(2))^(-1)) does not lie outside the triangle formed by the lines L_(1): 15y = x +1, L_(2) : 78y = 118 - 23x and L_(3):y +2 = 0 is

CENGAGE ENGLISH-STRAIGHT LINES-All Questions
  1. The lines x+2y+3=0,x+2y-7=0,a n d2x-y-4=0 are the sides of a square. ...

    Text Solution

    |

  2. Consider a family of straight lines (x+y)+lambda(2x-y+1)=0 . Find the ...

    Text Solution

    |

  3. Determine all the values of alpha for which the point (alpha,alpha^2) ...

    Text Solution

    |

  4. If 5a+5b+20 c=t , then find the value of t for which the line a x+b y+...

    Text Solution

    |

  5. If the y=mx+1, of the circle x^2+y^2=1 subtends an angle of measure 45...

    Text Solution

    |

  6. If x/l+y/m=1 is any line passing through the intersection point of the...

    Text Solution

    |

  7. Two sides of a rhombus OABC ( lying entirely in first quadrant or four...

    Text Solution

    |

  8. The equation of straight line belonging to both the families of lines ...

    Text Solution

    |

  9. If m1 and m2 are the roots of the equation x^2-a x-a-1=0 , then the ar...

    Text Solution

    |

  10. If the algebraic sum of the distances of a variable line from the po...

    Text Solution

    |

  11. If the points ((a^3)/((a-1))),(((a^2-3))/((a-1))),((b^3)/(b-1)),((b^2-...

    Text Solution

    |

  12. If a , b ,c are in harmonic progression, then the straight line ((x/a...

    Text Solution

    |

  13. A variable line cuts n given concurrent straight lines at A1,A2...An s...

    Text Solution

    |

  14. Prove that the area of the parallelogram formed by the lines 3x-4y+a=0...

    Text Solution

    |

  15. Two sides of a rhombus lying in the first quadrant are given by 3x-4y=...

    Text Solution

    |

  16. The equation of straight line passing through (-2,-7) and having an in...

    Text Solution

    |

  17. Let A B C be a given isosceles triangle with A B=A C . Sides A Ba n dA...

    Text Solution

    |

  18. A B C is an equilateral triangle with A(0,0) and B(a ,0) , (a>0). L, M...

    Text Solution

    |

  19. Let L1=0a n dL2=0 be two fixed lines. A variable line is drawn through...

    Text Solution

    |

  20. Find the points on y-axis whose perpendicular distance from the line ...

    Text Solution

    |