Find the equation of the circle with centre : (1, 1) and radius 2
Find the equation of the circle which passes through the points (2,−2), and (3,4) and whose centre lies on the line x+y=2.
Find the coordinates of the foci and the vertices, the eccentricity and the length of the latus rectum of the hyperbolas.9y2−4x2=36
Let A=(3,4) and B is a variable point on the lines ∣x∣ =6. IF AB≤4 , then find the number of position of B with integral coordinates.
The cable of a uniformly loaded suspension bridge hangs in the form of a parabola. The roadway which is horizontal and 100 m long is supported by vertical wires attached to the cable, the longest wire being 30 m and the shortest being 6 m. Find the length of a supporting wire attached to the roadway 18 m from the middle.
Determine x so that the line passing through (3,4)and(x,5) makes an angle of 1350 with the positive direction of the x-axis.