The number of triangles which are obtuse and which have the points (8,9),(8,16) and (20,25) as the feet of perpendiculars drawn from the vertices on the opposite sides is
A
0
B
1
C
2
D
3
Text Solution
Verified by Experts
The correct Answer is:
D
There exist exactly four triangles `ABC,APC,APB` and BPC satisfying the given conditions of which three triangles will be obtuse angle.
A straight line passes through a fixed point (6, 8). Find the locus of the foot of the perpendicular on it drawn from the origin is.
A straight line passes through a fixed point (6,8) : Find the locus of the foot of the perpendicular drawn to it from the origin O.
The slope of the line which is perpendicular to a line joining the points (0, 0) and (-8, 8) is
The slope of the line which is perpendicular to a line joining the points (0,0) and (-8,8) is ………..
Let ABC be an acute angled triangle with orthocenter H.D, E, and F are the feet of perpendicular from A,B, and C, respectively, on opposite sides. Also, let R be the circumradius of DeltaABC . Given AH.BH.CH = 3 and (AH)^(2) + (BH)^(2) + (CH)^(2) = 7 Then answer the following Value of R is
Let ABC be an acute angled triangle with orthocenter H.D, E, and F are the feet of perpendicular from A,B, and C, respectively, on opposite sides. Also, let R be the circumradius of DeltaABC . Given AH.CH = 3 and (AH)^(2) + (BH)^(2) + (CH)^(2) = 7 Then answer the following Value of HD.HF is
If the locus of the middle of point of contact of tangent drawn to the parabola y^2=8x and the foot of perpendicular drawn from its focus to the tangents is a conic, then the length of latus rectum of this conic is 9/4 (b) 9 (c) 18 (d) 9/2
The value of a for which the points (9, 5), (1, 2), (a, 8) are collinear is equal to
There are 11 points in a plane. No three of these lies in the same straight line except 4 points, which are collinear. Find , (i) the number of straight lines that can be obtained from the pairs of these points ? (ii) the number of triangles that can be formed for which the points are their vertices ?
CENGAGE-COORDINATE SYSTEM-Multiple Correct Answers Type