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  • What will be the obtuse angle between two lines 2x - y + 4 = 0 and 3x+y+3 = 0 . 

    135 (^0)
    140(^0)
    180(^0)
    145(^0)
  • What will be  the formula of the angle between the lines y = m1x+Cand y = m2x + c2

    θ = (tan-^1) (frac{m1-m2}{±1+m1-m2})
    θ = (tan-^1) (frac{m1+m2}{±1+m1+m2})
    θ = (tan-^1) (frac{m2-m1}{±1-m1-m2})
    θ = (tan-^1) (frac{m2-m1}{±1-m1+m2})
  • If the straight lines px+3y-12 = 0 and 4y-3x+7 = 0 are parallel to each other , find the value of P. 

    (frac{-9}{4})
    (frac{3x}{4y})
    (frac{-9}{-4})
    (frac{9}{4})
  • If the line passing through  (3 , -4) and (-2 , a) is parallel to the line given by the equation y+2x+3 = 0 , what will be the value of a. 

    3
    6
    2
    4
  • What will be the slope of the straight line perpedicular to 4x+3y = 12. 

    (frac{3}{4})
    (frac{2}{3})
    (frac{4}{3})
    (frac{6}{12})
  • If the straight lines 2x+3y+6 = 0 and ax-5y+20 = 0 are perpendicular to each other , find the value of a . 

    (frac{3}{4})
    (frac{2}{17})
    (frac{15}{3})
    (frac{15}{2})
  • Find the equation of a straight line which  is parallel to the line with the equation 5x+7y = 14 and passes through to the point (-2 , -3) . 

    5y+7x+13 = 0
    5y+7x+13 = 0
    5x+31+y7 = 0
    5x+7y+31 = 0
  • Find the equation of a straight line which passes through the point (2,1) and is parallel  to the line joining the points (2,3) and (3,-1) . 

    9x+ y= 4
    9x+ 9= y
    9x+ y= 9
    4x+ y= 9
  • Find the equation of straight lines passing through the point (2 , 3) and perpendicular to the line 4x-3y = 10. 

    4x+3y = 81
    18x+4y = 0
    3x+4y = 18
    4x+ 3y= 9
  • Find the equation of straight lines passing through a point (-6 , 4) and perpendicular to the line 3x-4y + 9 = 0 . 

    3x+4y+12 = 12
    4y+3x+0 = 12
    4x+3y+12 = 0
    0+3y+12 = 4x
  • Find the equation of straight lines passing through a point (7 , 1) and perpendicular to the line 5x+7y+12 = 0.

    7x-5y = 44
    7x+5y = 44
    5x-7y = 44
    44x-5y = 7x
  • The point C divides the line segment AB joining the points A (2 , 3) and B(-4) in the ratio 2:1 . Find the equation of the line passing through the point C and perpendicular to AB . 

    3y-13-0 = 9x
    13y+9x+3 = 0
    3y+13+9x = 0
    9x+3y+13 = 0
  • Find the equation of the straight lines passing through the point (2 , 3) and making an angle of 45(^0) with the line x-3y = 2.

    2x-1y = 1 , 8-2y = 0
    1-2xy = 0 , 2y-8 = x
    2x-y = 1 , x+2y=8
    1-2xy = 0 , 2y-8 = x
  • Find the equation of the straight lines passing through the point (1,0) & inclined at an angle of 30(^0) with the line x- (sqrt{3y}) = 4. 

    y=0 and (sqrt{1x})-y = (sqrt{1})
    y=0 and (sqrt{-3x})-y = (sqrt{-3})
    y=0 and (sqrt{3x})-y = (sqrt{3})
    y=0 and (sqrt{4x})-y = (sqrt{4})
  • If the line (frac{x}{a}) + (frac{y}{b}) = 1 passes through the point of intersection of the lines x+y = 3 and 2x-3y = 1 and is parallel to the line y=x-6 , then find the values of a and b. 

    0, 0
    1, -1
    1, 1
    -1, -1
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