Basics: Distance, Section Formula, Locus: JEE Questions & Solutions

Among the statements (S1): If A(5,-1) and B(-2,3) are two vertices of a triangle whose orthocentre is (0,0), then its third vertex is…

The number of elements in the relation R= (x,y): 4x^2+y^2<52, x,y Z is

Let the triangle PQR be the image of the triangle with vertices (1, 3), (3, 1) and (2, 4) in the line x + 2y = 2. If the centroid of PQR is…

Let Tn-1 = 28, Tn = 56, and Tn+1 = 70. Let A (4 t, 4 t), B (2 t, -2 t), and C (3rn - 1, rn^2 - n - 1) be the vertices of a triangle ABC,…

Let alpha, beta, gamma, delta Z and let A(,), B(1, 0), C(,), and D(1, 2) be the vertices of a parallelogram ABCD. If AB = 10 and the points…

If the locus of the point, whose distances from the point (2, 1) and (1, 3) are in the ratio 5:4, is ax^2 + by^2 + cxy + dx + ey + 170 = 0,…

The equations of the sides AB, BC, and CA of a triangle ABC are: 2x + y = 0, x + py = 21a (a 0), x - y = 3, and P(2, a) is the centroid of…

Let the point (p, p + 1) lie inside the region E = (x,y): 3 - x y (9 - x^2), 0 < x < 3. If the set of all values of p is the interval (a,…