Home
Class 12
MATHS
If (a, a^(2)) falls inside the angle mad...

If (a, `a^(2)`) falls inside the angle made by the lines `y=(x)/(2), x gt 0` and y = 3x, `x gt 0`, then a belongs to

A

`(0, (1)/(2))`

B

`(3, infty)`

C

`((1)/(2), 3)`

D

`(-3, -(1)/(2))`

Text Solution

Verified by Experts

The correct Answer is:
C
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    NEW JOYTHI PUBLICATION|Exercise EXERCISE|53 Videos
  • STATISTICS

    NEW JOYTHI PUBLICATION|Exercise QUESTIONS FROM COMPETITIVE EXAMS|40 Videos
  • THREE DIMENSIONAL GEOMETRY

    NEW JOYTHI PUBLICATION|Exercise Objective|36 Videos

Similar Questions

Explore conceptually related problems

If |x - 2| gt 5, then x belongs to

The angle between the lines 2x - y+3 = 0 and x + 2y + 3 = 0 is

x+y le 9. y gt x, x ge 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 (0,1)dot

The orthocentre of the triangle formed by the lines x = 0, y = 0 and x + y = 1 is

Find the range of each of the following functions f(x) =2-3x , x in R , x gt 0

The orthocentre of a triangle formed by the lines x - 2y = 1, x = 0 and 2x + y - 2 = 0 is

The angle between the lines sqrt3 x – y–2 = 0 and x – sqrt3 y+1=0 is

Find angle between the lines y - sqrt3x - 5 0 " and " sqrt3 y - x +6 = 0 .

NEW JOYTHI PUBLICATION-STRAIGHT LINES-QUESTIONS FROM COMPETITIVE EXAMS
  1. A square of side a lies above the x-axis and has one vertex at the or...

    Text Solution

    |

  2. If the pairs of straight lines x^(2) - 2pxy-y^(2)=0 and x^(2) – 2qxy ...

    Text Solution

    |

  3. Locus of centroid of the triangle whose vertices are (a cost, a sint)...

    Text Solution

    |

  4. Show that the area of the triangle formed by the lines y = m(1) x + c(...

    Text Solution

    |

  5. Let A (2, -3) and B (-2, 1) be vertices of a triangle ABC. If the cen...

    Text Solution

    |

  6. The equation of the straight line passing through the point (4, 3) an...

    Text Solution

    |

  7. If the sum of the slopes of the lines given by x^(2) – 2cxy – 7y^(2) ...

    Text Solution

    |

  8. If one of the lines given by 6x^(2) - xy + 4cy^(2) = 0 is 3x + 4y = 0...

    Text Solution

    |

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

    Text Solution

    |

  10. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

  11. If a vertex of a triangle is (1, 1) and the mid points of two sides t...

    Text Solution

    |

  12. If the pair of lines ax^(2) + 2(a+b)xy + by^(2) = 0 lie along diamete...

    Text Solution

    |

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

    Text Solution

    |

  14. In are ellispe , the distance between its foci is 6 and its minor axi...

    Text Solution

    |

  15. If (a, a^(2)) falls inside the angle made by the lines y=(x)/(2), x g...

    Text Solution

    |

  16. The equation of a tangent to the parabola y^(2) = 8x is y = x + 2. Th...

    Text Solution

    |

  17. Let A(h, k), B (1, 1) and C(2, 1) be the vertices of a right angled t...

    Text Solution

    |

  18. Let P=(-1, 0), Q=(0,0) and R=(3, 3sqrt3) be three points. The equatio...

    Text Solution

    |

  19. If one of the lines of my^(2) + (1 - m^(2))xy - mx^(2) = 0 is a bisect...

    Text Solution

    |

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

    Text Solution

    |