Mathematics questions
18011 published questions with worked solutions.
- 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
- If the foot of the perpendicular from the origin to a straight line is at the point (3,-4). Then, the equation of the line is
- The distance between the pair of lines represented by the equation x^2-6xy+9y^2+3x-9y-4=0 is
- The length of the perpendicular from the origin of the line x b- y a-1=0 is
- The distance between the parallel lines y=x+a, y=x+b is
- A line through the point A(2,0) which makes an angle of 30^ with the positive direction of x-axis is rotated about A in clockwise...
- L is variable line such that the algebraic sum of the distances of the points (1,1), (2,0) and (0,2) from the line is equal to...
- The orthocenter of a triangle formed by the lines x+y=1, 2x+3y=6 and 4x-y+4=0 lies in the
- The distance between the pair of parallel lines x^2+2xy+y^2-8ax-8ay-9a^2=0 is