Mathematics questions
18011 published questions with worked solutions.
- One vertex of the equilateral triangle with centroid at the origin and one side as x+y-2=0 is
- Let the perpendiculars from any point on the line 2x+11y=5 upon the lines 24x+7y-20=0 and 4x-3y-2=0 have the lengths p_1 and p_2...
- If a straight line L is perpendicular to the line 5x-y=1 such that the area of the formed by the line L and the coordinate axes...
- The lines x +y =p_1 and x +y =p_2 will be perpendicular, if
- The lines 2x+y-1=0, ax+3y-3=0 and 3x+2y-2=0 are concurrent for
- Two points (a,0) and (0,b) are joined by a straight line. Another point on this line, is
- The equation of the straight line which passes through the point (1,-2) and cuts off equal intercepts from the axes will be
- The equations ax+by+c=0 and dx+ey+f=0 represent the same straight line if and only if
- The point P(1,1) is translated parallel to 2x=y in the first quadrant through a unit distance. The coordinates of the new...
- If P ( , 1 2 ) and Q ( 1 2 , ), - are two points on the same side of the line x-y=0, then belongs to the interval
- The point of intersection of the lines xa+ yb=1 and xb+ ya=1 lies on the line
- Let ABC be an isosceles triangle with AB=BC. If base BC is parallel to x-axis and m_1 and m_2 are the slopes of medians drawn...
- The locus of a point P which divides the line joining (1,0) and (2 ,2 ) internally in the ratio 2:3 for all , is a
- The equations a^2x^2+2h(a+b)xy+b^2y^2=0 and ax^2+2hxy+by^2=0 represent
- If the lines given by ax^2+2hxy+by^2=0 are equally inclined to the lines given by ax^2+2hxy+by^2+ (x^2+y^2 )=0, then
- The lines bisecting the angle between the bisectors of the angles between the lines ax^2+2hxy+by^2=0 are given by
- If the angle between the lines represented by 2x^2+5xy+3y^2+6x+7y+4=0 is ^ -1 (m), then m is equal to
- The circumcentre of the triangle formed by the lines xy+2x+2y+4=0 and x+y+2=0, is
- The angle between the straight lines x^2-y^2-2x-1=0, is
- For what value of k is 4x^2+8xy+ky^2=9 the equation of a pair of straight lines?