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

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, oo)`

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

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Latest Questions from AIEEE/JEE Examinations|12 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (Questions from Karnataka CET & COMED)|8 Videos

  • BINOMIAL THEOREM

    MODERN PUBLICATION|Exercise RCQ.s Recent Competitive Questions (Questions from Karnataka CET & Comed|6 Videos

  • CIRCLES AND SYSTEMS OF CIRCLES

    MODERN PUBLICATION|Exercise Recent Competitive Questions (RCQs)|12 Videos

Similar Questions

Explore conceptually related problems

The angle between the lines x^(2)+4 x y-y^(2)=0 is

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

Find the angle between the lines y - sqrt(3) x - 5 = 0 and sqrt(3) y - x + 6 = 0

The angle between the lines x^(2) + 4xy + y^(2) = 0 is

x and b are real numbers. If b gt 0 and |x| gt b , then

The solution of (1)/(2x-5) gt 0 is :

Acute angle between the lines y^(2)-2 sqrt(3) x y+3 x^(2)=0 is

The acute angle between the lines x^(2)-2 x y sec alpha+y^(2)=0 is

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

If x and y are real numbers such that x gt y and |x| gt |y| , then :

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

  2. If P is a point (x, y) on the line y= -3x such that P and Q(3, 4) are ...

    Text Solution

    |

  3. Let A(-1, 0), B(0, 0) and C(3, 3sqrt(3)) be three points. Then the bis...

    Text Solution

    |

  4. The position of a moving point in XY-plane at time t is given by (u co...

    Text Solution

    |

  5. If the line y = mx meets the lines x+2y-1=0 and 2x-y+3=0 at the same p...

    Text Solution

    |

  6. Co-ordinates of the vertices of a triangle are (2, 0), (6, 0) and (1, ...

    Text Solution

    |

  7. The equation of base of an equilateral triangle is x+y=2 and vertex is...

    Text Solution

    |

  8. The triangle formed by the tangent to the curve f(x)=x^(2)+bx-b at the...

    Text Solution

    |

  9. A square of side a lies above the x-axis and has one vertex at the ori...

    Text Solution

    |

  10. If the equation of the locus of a point equidistant from the points (a...

    Text Solution

    |

  11. Locus of centroid of the triangle whose vertices are (a cos t, a sin ...

    Text Solution

    |

  12. Triangle is formed by the co-ordinates (0, 0), (0, 21) and (21, 0). Fi...

    Text Solution

    |

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

    Text Solution

    |

  14. If a vertex of a triangle is (1, 1) and the mid-points of two sides th...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  18. The co-ordinates of a point on the line x+y=3 such that the point is a...

    Text Solution

    |

  19. Consider three points P-= (-sin (beta-alpha), -cos beta), Q-= (cos (be...

    Text Solution

    |

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

    Text Solution

    |