Mathematics questions
18011 published questions with worked solutions.
- If pairs straight lines x^2-2pxy-y^2=0 and x^2-2qxy-y^2=0 be such that each pair bisects the angle between the other pair, then
- If P is a point (x,y) on the line y=-3x such that P and the point (3,4) are on the opposite sides of the line 3x-4y-8=0, then
- Let P=(-1,0), Q=(0,0) and R= (3,3 3 ) be three points. The equation of the bisector of the angle PQR is
- The vertices of a triangle are A(3,7), B(3,4) and C(5,4). The equation of the bisector of the angle ABC is
- The bisector of the acute angle formed between the lines 4x-3y+7=0 and 3x-4y+14=0 has the equation
- Three straight lines 2x+11y-5=0, 24x+7y-20=0 and 4x-3y-2=0
- The line 2x-y=1 bisects angle between two lines. If equation of one line is y=x, then the equation of the other line is
- If the bisectors of angles represented by ax^2+2hxy+by^2=0 and a'x^2+2h'xy+b'y^2=0 are same, then
- Orthocentre of the triangle formed by the lines x+y=1 and xy=0 is
- If a variable line passes through the point of intersection of the lines x+2y-1=0 and 2x-y-1=0 and meets the coordinates axes in...
- The vertices of OBC are (0,0), (-3,-1) and (-1,-3), then the equation of the line parallel to BC which is a distance 12 from the...
- Consider the following statements: I. If vmatrix x_1&y_1&1 _2&y_2&1 _3&y_3&1 vmatrix = vmatrix a_1&b_1&1 _2&b_2&1 _3&b_3&1...
- The equation of the straight line joining the origin to the point of intersection of y-x+7=0 and y+2x-2=0, is
- If the lines x=a+m, y=-2 and y=mx are concurrent, then least value of |a| is
- Consider the family of lines (x+y-1)+ (2x+3y-5)=0 and (3x+2y-4)+ (x+2y-6)=0, equation of the straight line that belongs to both...
- Orthocentre of triangle with vertices (0,0), (3,4) and (4,0) is
- The base BC of ABC is bisected at (p,q) and equation of sides AB and AC are px+qy=1 and qx+py=1 respectively. Then, the equation...
- The equation of line parallel to lines L_1 x+2y-5=0 and L_2 x+2y+9=0 and dividing the distance between L_1 and L_2 in the ratio...
- Lines 2x+y=1 and 2x+y=7 are
- If the angle between the lines represented by equations y^2+kxy-x^2 ^2A=0 is 2A, then k is equal to