If a chord, which is not a tangent of the parabola y2=16xhas the equation 2x+y=p,and midpoint (h,k),then which of the following is(are) possible values (s) of p,handk?p=−1,h=1,k=−3 p=2,h=3,k=−4 p=−2,h=2,k=−4 p=5,h=4,k=−3
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Find the coordinates of the foci, the vertices, the length of major axis, the minor axis, the eccentricity and the latus rectum of the ellipse 25x2+9y2=1
Given that A(1,1)
are two points and D
is a point on AB
produced such that AD=3AB˙
Find the coordinates of D˙
Find the orthocentre of ΔABC with vertices A(1,0),B(−2,1), and C(5,2)
Determine the ratio in which the line 3x+y−9=0
divides the segment joining the points (1,3) and (2,7)˙
Find the centre and the radius of the circle x2+y2+8x+10y−8=0.
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.
If the point (2,3),(1,1),and(x,3x)
are collinear, then find the value of x,
using slope method.
Find the equation of the circle passing through the points (4, 1) and (6, 5) and whose centre is on the line 4x+y=16.