Home
Class 12
MATHS
If A (11,7) , B (-1, k ) and C (5, -1) a...

If A (11,7) , B (-1, k ) and C (5, -1) are the vertices of `DeltaABC` and `m angleACB =pi/2` then what is k ?

A

`4//3`

B

None of these

C

`-5`

D

5

Text Solution

Verified by Experts

Promotional Banner

Similar Questions

Explore conceptually related problems

A(0,-1,-2), B(3,1,4) and C(5,7,1) are vertices of DeltaABD then find the measure of angleA .

Show that A(3,10) , B(6,5) , C(1,2) and D(-2, 7) are the vertices of a square

Let A(h, k), B(1, 1) and C(2, 1) be the vertices of a right angled triangle with AC as its hypotenuse. If the area of the triangle is 1, then the set of values which k can take is given by (1) {1,""3} (2) {0,""2} (3) {-1,""3} (4) {-3,-2}

Let A(1, 2, 3), B(0, 0, 1), C(-1, 1, 1) are the vertices of a DeltaABC .The equation of median through C to side AB is

A(1,7), B(2,4) and C(k,5) are the vertices of a right triangle . Find k (1) if angle A = 90^(@) (2) if angle B = 90^(@) and (3) if angle C = 90^(@)

A (2,- 3) and B (-5, 1) are two vertices of the DeltaABC . Its centroid is on x-axis and vertices C is on y-axis, then find the co-ordinates of C .

If the points A(-2, k), B(3,-4) and C(7,10) are the vertices of a right angled isosceles triangle right angled at A, find the value of k and the area of Delta ABC .

Statement 1 : Let the vertices of a A B C be A(-5,-2),B(7,6), and C(5,-4) . Then the coordinates of the circumcenter are (1,2)dot Statement 2 : In a right-angled triangle, the midpoint of the hypotenuse is the circumcenter of the triangle.

Let k be an integer such that the triangle with vertices (k, -3k), (5, k) and (-k, 2) has area 28 sq units. Then, the orthocentre of this triangle is at the point

If A=[{:(1,0),(-1,7):}]andA^(2)=8A+KI then find K.