JEE Advanced questions
3844 published questions with worked solutions.
- A variable line through the point (a,b) cuts the axes of reference at A and B respectively. The lines through A and B parallel to...
- If the coordinates of the vertices of a triangle are rational numbers then which of the following points of the triangle will...
- The ends of a diagonal of a square are (2,-3) and (-1,1). Another vertex of the square can be
- If (-1,2), (2,-1) and (3,1) are any three vertices of a parallelogram then the fourth vertex (a,b) will be such that
- The parametric equation of a line is given by x=-2+ r 10 and y=1+3 r 10 . Then, for the line
- If the equations of the hypotenuse and a side of a right-angled isosceles triangle be x+my=1 and x=k respectively then
- The centroid and a vertex of an equilateral triangle are (1,1) and (1,2) respectively. Another vertex of the triangle can be
- A line passing through the point (2,2) and the axes enclose an area . The intercepts on the axes made by the line are given by...
- A line passing through the origin and making an angle /4 with the line y-3x=5 has the equation
- The coordinates of a point on the line x+y=3 such that the point is at equal distances from the lines |x|=|y| are
- A line perpendicular to the line 3x-2y=5 cuts off an intercept 3 on the positive side of the x-axis. Then
- One diagonal of a square is the portion of the line 3x+y=2 3 intercepted by the axes. Then an extremity of the other diagonal is
- If bx+cy=a, where a,b,c are of the same sign, be a line such that the area enclosed by the line and the axes of reference is 18...
- The sides of a triangle are x+y=1, 7y=x and 3y+x=0. Then the following is an interior point of the triangle.
- If (x,y) be a variable point on the line y=2x lying between the lines 2(x+1)+y=0 and x+3(y-1)=0 then
- If the equations of the three sides of a triangle are x+y=1, 3x+5y=2 and x-y=0 then the orthocentre of the triangle lies on the...
- A ray travelling along the line 3x-4y=5 after being reflected from a line l travels along the line 5x+12y=13. Then the equation...
- A ray of light travelling along the line x+y=1 is incident on the x-axis and after refraction it enters the other side of the...
- The equation 4x^2+mxy-3y^2=0 represents a pair of real and distinct lines if
- If 2x^2+3xy+my^2=0 represents two real and mutually perpendicular lines then m is