Straight Lines questions
982 published questions with worked solutions.
- Under which condition, are the points (a, b), (c, d) and (a-c, b-d) collinear?
- If the foot of the perpendicular drawn from the point (0, k) to the line 3x-4y-5=0 is (3, 1), then what is the value of k?
- What is the obtuse angle between the lines whose slopes are 2- 3 and 2+ 3 ?
- If 3x-4y-5=0 and 3x-4y+15=0 are the equations of a pair of opposite sides of a square, then what is the area of the square?
- Consider the inequations 5x-4y+12<0, x+y<2, x<0 and y>0. Which one of the following points lies in the common region?
- What is the equation of the straight line which passes through the point (1, -2) and cuts off equal intercepts from the axes?
- A straight line passes through the point of intersection of x+2y+2=0 and 2x-3y-3=0. It cuts equal intercepts in the fourth...
- Under which one of the following conditions are the lines ax+by+c=0 and bx+ay+c=0 parallel (a 0, b 0)?
- What is the equation of the locus of the mid-point of the line segment obtained by cutting the line x+y=p, (where p is a real...
- Consider the following statements in respect of the line passing through origin and inclining at an angle of 75^ with the...
- If P(3, 4) is the mid-point of a line segment between the axes, then what is the equation of the line?
- The base AB of an equilateral triangle ABC with side 8 cm lies along the y-axis such that the mid-point of AB is at the origin...
- For what value of m with m<0, is the area bounded by the lines y=x, y=mx and x=2 equal to 3?
- The points (-a, -b), (0, 0), (a, b) and (a^2, ab) are :
- Given that 16p^2+49q^2-4r^2-56pq=0. Which one of the following is a point on a pair of straight lines (px+qy+r)(px+qy-r)=0?
- For what values of k is the line (k-3)x-(5-k^2)y+k^2-7k+6=0 parallel to the line x+y=1?
- The line x+y=4 cuts the line joining P(-1, 1) and Q(5, 7) at R. What is PR:RQ equal to?
- What is the sum of the intercepts of the line whose perpendicular distance from origin is 4 units and the angle which the normal...
- What is the angle between the lines 2x=3y=-z and 6x=-y=-4z?
- A point P lies on the line joining A(1, 2, 3) and B(2, 10, 1). If z-coordinate of P is 7, what is the sum of other two...
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