Mathematics questions
18011 published questions with worked solutions.
- The equation to the line bisecting the join of (3,-4) and (5,2) and having its intercepts on the x-axis and the y-axis in the...
- The lines represented by the equation x^2-y^2-x+3y-2=0 are
- The equation 4x^2-24xy+11y^2=0 represents
- If the lines 4x+3y-1=0, x-y+5=0 and kx+5y-3=0 are concurrent, then k is equal to
- If the slopes of one of the lines given by ax^2+2hxy+by^2=0 is 5 times the other, then
- If the lines x+3y-9=0, 4x+by-2=0 and 2x-y-4=0 are concurrent, then b equals
- The equation of the line passing through the origin and the point of intersection of the lines xa+ yb=1 and xb+ ya=1 is
- If one of the lines given by 6x^2-xy+4cy^2=0 is 3x+4y=0, then c equals
- Let a and b be non-zero and real numbers. Then, the equation (ax^2+by^2+c ) (x^2-5xy+6y^2 )=0 represents
- The straight line whose sum of the intercepts on the axes is equal to half of the product of the intercepts, passes through the...
- A straight line through P(1,2) is such that its intercept between the axes is bisected at P. Its equation is
- 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...
- The equation of the pair of straight lines parallel to x-axis and touching the circle x^2+y^2-6x-4y-12=0 is
- 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...