Mathematics questions
18011 published questions with worked solutions.
- If the slope of one of the lines given by ax^2-6xy+y^2=0 is square of the other, then a=
- If the pair of straight lines ax^2+2hxy+by^2=0 is rotated about the origin through 90^ , then their equations in the new position...
- If the equation 12x^2+7xy-py^2-18x+qy+6=0 represents a pair of perpendicular straight lines, then
- The difference of the tangents of the angles which the lines x^2 ( ^2 - ^2 )-2xy +y^2 ^2 =0 make with the x-axis is
- Which of the following pair of straight lines intersect at right angle?
- The equation x^2+k_1y^2+k_2xy=0 represents a pair of perpendicular lines if
- If the area of the triangle formed by the pair of lines given by 8x^2-6xy+y^2=0 and the line 2x+3y=a is 7, then a=
- The equations to the straight lines passing through the origin and making an angle with the straight line y+x=0 are given by
- If the slope of one of the lines given by 36x^2+2hxy+72y^2=0 is four times the other, then h^2=
- If the lines represented by the equation ax^2+2hxy+by^2+2gx+2fy+c=0 are equidistant from the origin, then
- A straight line L through the point (3,-2) is inclined at an angle 60^ to the line 3x+y=1. If L also intersects the X-axis, then...
- Let O(0,0), P(3,4) and Q(6,0) be the vertices of a OPQ. The point R inside the OPQ is such that the triangles OPR, PQR and OQR...
- A straight line through the origin O meets the parallel lines 4x+2y=9 and 2x+y+6=0 at points P and Q respectively. Then, the...
- If A_0,A_1,A_2,A_3,A_4 and A_5 be a regular hexagon inscribed in a circle of unit radius. Then, the product of the lengths of the...Not in JEE syllabus
- The graph of the function x (x+2)- ^2(x+1) is
- The points (-a,-b), (0,0), (a,b) and (a^2,ab ) are
- Area of triangle formed by the lines x+y=3 and angle bisectors of the pair of straight lines x^2-y^2+2y=1 is
- For z C if the minimum value of (|z − 3 2 | + |z − p 2 i|) is 5 2 , then a value of p is _____
- The number of real values of , such that the system of linear equations 2x − 3y + 5z = 9 x + 3y − z = −18 3x - y + ( ^ 2 - | |)z...
- The remainder when (11)^ 1011 + (1011)^ 11 is divided by 9 is