Home
Class 12
MATHS
The number of triangles which are obtuse...

The number of triangles which are obtuse and which have the points (8,9),(8,16) and (20,25).Then find the orthocenter of triangle ABC.

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.
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Comprehension Type|4 Videos
  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos
  • CONTINUITY AND DIFFERENTIABILITY

    CENGAGE PUBLICATION|Exercise All Questions|238 Videos
  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise JEE Main|6 Videos

Similar Questions

Explore conceptually related problems

If (1,4) is the centroid of a triangle and the coordinates of its any two vertices are (4,-8) and (-9,7), find the area of the triangle.

For a triangle ABC, which of the following is true?

Consider a triangle PQR with coordinates of its vertices as P(-8,5), Q(-15, -19), and R (1, -7). The bisector of the interior angle of P has the equation which can be written in the form ax+2y+c=0. The distance between the orthocenter and the circumcenter of triangle PQR is

In triangle ABC which of the following is not true :

In any triangle ABC, which of the following is false?

(b) (iii) Find the area of the triangle formed by joining the points (4,8),(-4,3) and (12,2) successively.

Determine the ratio in which the point (-6, a) divides the join of A (-3, -1) and B (-8, 9). Also find the value of a.

The three vertices of the triangle ABC are A(2,3,5) B(3,5,8) and C(2,7,8) : using vector method find the area of the triangle ABC.

The cordinates of the mid points of the sides BC, CA and AB of the triangle ABC are (5,2,8), (2,-2,-3) and (2,-3,4) , find the coordinates of the centroid of the triangle.

Find the area of a triangle whose vertices are A(3,2),B(11 ,8) and C(8,12)dot