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 the interval

A

`(-3,-1/2)`

B

`(0,1/2)`

C

`(3,oo)`

D

`(1/2,3)`

Text Solution

Verified by Experts

The correct Answer is:
D
Promotional Banner

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION C) (OBJECTIVE TYPE QUESTIONS) (MORE THAN ONE ANSWER)|14 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION D) (LINKED COMPREHENSION TYPE QUESTIONS)|12 Videos
  • STRAIGHT LINES

    AAKASH INSTITUTE|Exercise ASSIGNMENT (SECTION A) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)|50 Videos
  • STATISTICS

    AAKASH INSTITUTE|Exercise Section-C Assertion-Reason|15 Videos
  • THREE DIMENSIONAL GEOMETRY

    AAKASH INSTITUTE|Exercise ASSIGNMENT SECTION - J|10 Videos

Similar Questions

Explore conceptually related problems

If (t, t^(2)) falls inside the angle made by the lines y = x//2, x gt 0 and y = 3x, x gt 0, where t in (a, b) then find the value of 2a + b .

If alpha,alpha^(2)) falls inside the angle made by the lines 2y=x,x>0&y=3x,x>0, then the set of values of alpha is (-oo,3) (b) ((1)/(2),3)(0,3)(d)(-oo,0)uu[(1)/(2),oo]

If (3(x-2))/(5)gt=(5(2-x))/(3) , then x belongs to the interval

Find the angle between the lines x-2y+3=0 and 3x+y-1=0 .

If the point (2a,a) lies inside the parabola x^(2) -2x - 4y +3 = 0 , then a lies in the interval

x + y le 9, x gt y, xge 0

The angle between the lines 3x-y+5=0,x+3y-2=0 is

AAKASH INSTITUTE-STRAIGHT LINES-ASSIGNMENT (SECTION B) (OBJECTIVE TYPE QUESTIONS) (ONLY ONE ANSWER)
  1. If the coordinates of vertices of a triangle is always rational then t...

    Text Solution

    |

  2. If the angle between two lines is 45^(@) and the slope of one line is ...

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

  5. The line L given by x/5 + y/b = 1 passes through the point (13,32).the...

    Text Solution

    |

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

    Text Solution

    |

  7. Find the equation of the bisector of the obtuse angle between the line...

    Text Solution

    |

  8. The diagonals of a parallelogram PQRS are along the lines x+3y =4 and ...

    Text Solution

    |

  9. The points on x+y=4 that lie at a unit distance from the line 4x+3y-10...

    Text Solution

    |

  10. The line 5x + 4y = 0 passes through the point of intersection of strai...

    Text Solution

    |

  11. The equation of the base of an equilateral triangle is x+y=2 and its v...

    Text Solution

    |

  12. A ray of light is sent along the line which passes through the point (...

    Text Solution

    |

  13. Line a x+b y+p=0 makes angle pi/4 with cosalpha+ycosalpha+ysinalpha=p ...

    Text Solution

    |

  14. Find the image of the point (-8,12) with respect to line mirror 4x+7y+...

    Text Solution

    |

  15. in a triangle ABC, if A is (1, 2) and the equations of the medians thr...

    Text Solution

    |

  16. The equation of straight line equally inclined to the axes and equidis...

    Text Solution

    |

  17. A line passing through (0,0) and perpendicular to 2x+y+6=0,4x+2y-9=0 t...

    Text Solution

    |

  18. The centroid of the triangle formed by the pair of straight lines 12x^...

    Text Solution

    |

  19. If x^2-2p x y-y^2=0 and x^2-2q x y-y^2=0 bisect angles between each ot...

    Text Solution

    |

  20. If a , ba n dc are in A P , then the straight line a x+b y+c=0 will al...

    Text Solution

    |