Home
Class 12
MATHS
If P is a point (x, y) on the line y= -3...

If P is a point (x, y) on the line `y= -3x` such that P and Q(3, 4) are on opposite sides of the line `3x-4y=8`, then :

A

`x gt (8)/(5) , y lt (-8)/(15)`

B

`x gt (8)/(15), y lt -(8)/(5)`

C

`x=(8)/(15), y=(-8)/(5)`

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
B
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

Find the slope of the line 3x-4y+1=0 .

Find the slope of the line 3x-4y-2=0 ?

Find the slope of the line 3x-4y+10=0 .

Are the points (3,4) and (2,-6) on the same or opposite sides of the line 3x-4y=8?

If the points (1, 2) and (3, 4) were to be on the same side of the line 3x-5y+a=0 , then :

Prove that the points (2, -3) & (-3, 7) lie on the opposite sides of the line 2x+5y-8=0 .

Are the points (2,1) and (-3,5) on the same or opposite side of the line 3x - 2y + 1 = 0 ?

The co-ordinates of a point on the line x+y=3 such that the point is at equal distances from the lines |x|=|y| are :

If the point P(a, b) lies on the line 3 x+2 y=13 and the point Q(b, a) lies on the line 4 x-y=5 , then the equation of the line P Q is

The image of the point P(3,5) w.r.t the line y=x is the point Q and the image of Q along the line y=0 is the point R(a, b), then (a, b)=

MODERN PUBLICATION-CARTESIAN SYSTEM OF RECTANGULAR CO-ORDINATES AND STRAIGHT LINES -Multiple Choice Questions (LEVEL-II)
  1. If p, p' be the lengths of perpendicular from (0, 0) on the lines: x...

    Text Solution

    |

  2. The points P(2,3) , Q(3, 5), R(7, 7) and S(4, 5) are such that:

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |

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

    Text Solution

    |