Straight Lines questions
982 published questions with worked solutions.
- If non-zero numbers a,b,c are in HP, then the straight line xa+ yb+ 1c=0 always passes through a fixed point. That point is
- Two consecutive sides of a parallelogram are 4x+5y=0 and 7x+2y=0. One diagonal of the parallelogram is 11x+7y=9. If the other...
- If PM is the perpendicular from P(2,3) onto the line x+y=3, then the coordinates of M are
- A straight line through the point (2,2) intersects the lines 3x+y=0 and 3x-y=0 at the points A and B. The equation of the line...
- If 3x^2+xy-y^2-3x+6y+k=0 represents a pair of lines, then k is equal to
- The lines parallel to the x-axis and passing through the intersection of the lines ax+2by+3b=0 and bx-2ay-3a=0, where (a,b) (0,0)...
- The equation of a straight line which passes through the point (a ^3 ,a ^3 ) and perpendicular to x +y cosec =a is
- In order to eliminate the first degree terms from the equation 2x^2+4xy+5y^2-4x-22y+7=0, the point to which origin is to be...
- Equation of straight line cutting off an intercept 2 from the negative direction of the axes of y and inclined at 30^ to the...
- Coordinate of the foot of the perpendicular drawn from (0,0) to the line joining (a ,a ) and (a ,a ) are
- A straight line through the point (1,1) meets the x-axis at 'A' and y-axis at 'B'. The locus of the mid point of AB is
- If the equations, 12x^2-10xy+2y^2+11x-5y+k=0 represents two straight lines, then the value of k is
- The value of k such that the lines 2x-3y+k=0, 3x-4y-13=0 and 8x-11y-33=0 are concurrent, is
- If the equation kx^2-2xy-y^2-2x+2y=0 represents a pair of lines, then k is equal to
- If the lines ax+ky+10=0, bx+(k+1)y+10=0 and cx+(k+2)y+10=0 are concurrent, then
- The distance between the lines 3x+4y=9 and 6x+8y=15 is
- The product of the perpendicular distances from the origin on the pair of straight lines 12x^2+25xy+12y^2+10x+11y+2=0 is
- If A(2,-1) and B(6,5) are two points, then the ratio in which the foot of the perpendicular from (4,1) to AB divided it, is
- The distance between the pair of parallel lines x^2+4xy+4y^2+3x+6y-4=0 is
- The equation x^2+2 2xy+2y^2+4x+4 2y+1=0 represents a pair of lines which are parallel to each other. The distance between them is
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