Home
Class 12
MATHS
If centroid of the triangle with vertice...

If centroid of the triangle with vertices `(3c+2,2,0) , (2c,-1,-1)` and `(c+2, 3c+1,c+3)` coincides with the centre of the sphere `x^2+y^2+z^2+5ax-4by-2cz=13` then (A) `c=1` (B) `c=2` (C) `c=3` (D) `c=0`

Promotional Banner

Similar Questions

Explore conceptually related problems

If the origin is the centroid of triangle ABC, with vertices A(a,1,3), B(-2,b,-5) and C(4,7,c). Find the values of a,b and c.

If origin is the centroid of a triangle ABC having vertices A(a,1,3), B(-2,b,-5) and C(4,7, c) , then the values of a, b, c are

If vertices of a triangle are (a,1,3),(-2,b,-5)&(4,7,c) and centroid is (0,0,0).Find a,b,c

If (1,a),(2,b),(c^(2),3) are vertices of a triangle then its centroid is

If |(a,a^2,1+a^3),(b,b^2,1+b^3),(c,c^2,1+c^3)|=0 and vectors (1,a,a^2),(1,b,b^2) and (1,c,c^2) are non coplanar then the product abc equals (A) 2 (B) -1 (C) 1 (D) 0

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

In A B C , if the orthocentre is (0,0) and the circumcenter is (1,2), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

In A B C , if the orthocentre is (1,2) and the circumcenter is (0, 0), then centroid of A B C) is (a) (1/2,2/3) (b) (1/3,2/3) (c) (2/3,1) (d) none of these

If x^2/(by+cz)=y^2/(cz+ax)=z^2/(ax+by)=1 then show that a/(a+x)+b/(b+y)+c/(c+z)=1