JEE Advanced questions
3844 published questions with worked solutions.
- If the chord y=mx+1 of the circle x^2+y^2=1 subtends an angle of measure 45^ at the major segment of the circle then the value of...
- The equation 2x^2-3xy-py^2+x+qy-1=0 represents two mutually perpendicular lines if
- The diagonals of a square are along the pair of lines whose equation is 2x^2-3xy-2y^2=0. If (2,1) is a vertex of the square then...
- There is a pair of points, one on each of the lines whose combined equation is (4x-3y+5)(6x+8y+5)=0. If they are such that the...
- The pairs of straight lines ax^2+2hxy-ay^2=0 and hx^2-2axy-hy^2=0 are such that
- If the pair of lines ax^2+2hxy+by^2+2gx+2fy+c=0 intersect on the y-axis then
- The combined equation of three sides of a triangle is (x^2-y^2)(2x+3y-6)=0. If (-2,a) is an interior point and (b,1) is an...
- If the equation of a circle is ax^2 + (2a-3)y^2 - 4x - 1 = 0 then its centre is
- If 2x^2 + xy + 2y^2 + ( - 4)x + 6y - 5 = 0 is the equation of a circle then its radius is
- The equation x^2 + y^2 - 2x + 4y + 5 = 0 represents
- Three sides of a triangle have the equations L_r y - m_r x - c_r = 0; r = 1, 2, 3. Then L_2L_3 + L_3L_1 + L_1L_2 = 0, where 0, 0,...
- The number of integral values of for which x^2 + y^2 + x + (1- )y + 5 = 0 is the equation of a circle whose radius cannot exceed...
- If 2(x^2 + y^2) + 4 x + ^2 = 0 represents a circle of meaningful radius then the range of real values of is
- The equation of the circle passing through the point (1, 1) and having two diameters along the pair of lines x^2 - y^2 - 2x + 4y...
- Two vertices of an equilateral triangle are (-1, 0) and (1, 0), and its third vertex lies above the x-axis. The equation of the...
- A triangle is formed by the lines whose combined equation is given by (x + y - 4)(xy - 2x - y + 2) = 0. The equation of its...
- If the centroid of an equilateral triangle is (1, 1) and its one vertex is (-1, 2) then the equation of its circumcircle is
- The equation of the circle whose one diameter is PQ, where the ordinates of P, Q are the roots of the equation x^2 + 2x - 3 = 0...
- A circle touches the y-axis at (0, 2) and has an intercept of 4 units on the positive side of the x-axis. Then the equation of...
- C_1 is a circle of radius 1 touching the x-axis and the y-axis. C_2 is another circle of radius > 1 and touching the axes as well...