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

`(3, infty)`

B

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

C

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

D

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

Text Solution

Verified by Experts

The correct Answer is:
B
Promotional Banner

Topper's Solved these Questions

  • COMPLEX NUMBERS

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|306 Videos

  • Definite Integrals and its Application

    HIMALAYA PUBLICATION|Exercise QUESTION BANK|453 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 :

HIMALAYA PUBLICATION-COORDINATE SYSTEMS, LOCUS AND STRAIGHT LINES-QUESTION BANK
  1. If non-zero numbers a, b, c are in H.P., then the straight line (x)/(...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  4. Let PS be the median of the triangle with vertices P(2, 2), Q(6, -1) ...

    Text Solution

    |

  5. Area of the parallelogram formed by the lines y=mx, y=mx+1, y=nx and y...

    Text Solution

    |

  6. The number of integer values of m for which the x-co-ordinates of the ...

    Text Solution

    |

  7. The incentre of the triangle with vertices (1, sqrt(3)), (0, 0) and (2...

    Text Solution

    |

  8. A straight line through the origin O meets the parallel lines 4x+2y=9 ...

    Text Solution

    |

  9. Let P(-1, 0), Q(0, 0) and R(3, 3sqrt(3)) be three points. Then the equ...

    Text Solution

    |

  10. Orthocentre of triangle whose vertices are (0, 0), (3, 4), (4, 0) is :

    Text Solution

    |

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

    Text Solution

    |

  12. The lines y=mx, y+2x=0, y=2x+k and y+mx=k form a rhombus if m is equal...

    Text Solution

    |

  13. The lines x+(a-1) y+1=0 and 2 x+a^(2) y-1=0 are perpendicular if

    Text Solution

    |

  14. A line passes through (2,2) and is perpendicular to the line 3x+y=3 ...

    Text Solution

    |

  15. If P=(1,0), Q=(-1,0) and R=(2,0) are three given points, then the locu...

    Text Solution

    |

  16. If P(1,2), Q(4,6), R(5,7) and S(a, b) are the vertices of a parallelog...

    Text Solution

    |

  17. The diagonals of a parallelogram P Q R S are along the lines x+3 y=4 a...

    Text Solution

    |

  18. If the vertices P, Q, R are rational points which of the following poi...

    Text Solution

    |

  19. If the lines x-y-1=0,4 x+3 y=k and 2 x-3 y+1=0 are concurrent then k=

    Text Solution

    |

  20. The centroid of a triangle formed by the points (0, 0), (cos theta, si...

    Text Solution

    |