Mathematics questions
18011 published questions with worked solutions.
- The family of lines making an angle 30^ with the line 3y=x+1 is
- Two vertices of a triangle are (5,-1) and (-2,3). If the orthocenter of the triangle is the origin, then coordinates of third...
- If the pair of straight lines xy-x-y+1=0 and the line ax+2y-3=0 are concurrent, then a is equal to
- If the angle is acute, then the acute angle between x^2( - )+2xy +y^2( + )=0 is
- Let _1 and _2 be the inclinations of lines L_1 and L_2 with x-axis. If L_1 and L_2 pass through P(x_1,y_1), then equation of one...
- A line AB makes zero intercepts on x-axis and y-axis and it is perpendicular to another line CD which is 3x+4y+6=0. The equation...
- Statement 1: If joint equation of the lines 2x-y=5 and x+2y=3 is 2x^2+3xy-2y^2-11x-7y+15=0 Statement 2: Every second degree...
- Statement 1: Each point on the line y-x+12=0 is equidistant from the lines 4y+3x-12=0, 3y+4x-24=0 Statement 2: The locus of a...
- The distance of the point (-2,3) from the line x-y=5 is
- The inclination of the straight line passing through the point (-3,6) and the mid point of the line joining the points (4,-5) and...
- Equation of straight line belonging to families of straight lines (x+2y)+ (3x+2y+1)=0 and (x-2y)+ (x-y+1)=0 is
- Consider the following statements: I. The lines 2x+3y+19=0 and 9x+6y-17=0 cut the coordinate axes in concyclic points II. The...
- Statement 1: If a,b,c are variable such that 3a+2b+4c=0, then the family of lines given by ax+by+c=0 pass through a fixed point...
- The gradient of one of the lines of ax^2+2hxy+by^2=0 is twice that of the other, then
- The number of the straight lines which are equally inclined to both the axes and are at a distance of 1 unit from the origin, is
- Consider the points A (3,4), B (7,13). If 'P' be a point on the line y=x, such that PA+PB is minimum, then coordinates of P is
- An equilateral ABC in first quadrant is such that A lies on x-axis, B lies on y-axis and BC is parallel to x-axis, then equation...
- The area of the triangle bounded by the straight line ax+by+c=0, (a,b,c 0) and the coordinate axes is
- If 5a+4b+20c=t, then the value of t for which the line ax+by+c-1=0 always passes through a fixed point is
- The locus of the point P(x,y) satisfying the relation (x-3)^2+(y-1)^2 + (x+3)^2+(y-1)^2 =6 is