2) ande=(x_3,y_3) then centraid ofthe triangle i Pis mid point of Bc then G will be cut AD in Ratio l:1 SO,D=((a+4)/2,(b+1)/2) So, D= 0,G= 、 2x()+1(1) 2+1 2()+1(3)7 =((a+3)/3,(b+4)/3)=(4,3) 1+2 s0=4a=7 and(b+4)/3=3⇒b=5 ...
NCERT solutions for CBSE and other state boards is a key requirement for students. Doubtnut helps with homework, doubts and solutions to all the questions. It has helped students get under AIR 100 in NEET & IIT JEE. Get PDF and video solutions of IIT-JEE Mains & Advanced previous year pap...
If A(4,−4) and B(9,6) lies on y2=4x and a point C on arc AOB(O=orig∈) such that the area of △ACB is maximum then point c is (1) (14,1) (2) (1,14) (3) (1,12) (4) (12,1) View Solution If the centroid of the triangle formed by (7, x), (y, −6)...
The median of a triangle is the line that connects a vertex of the triangle to the midpoint of the side opposite to the vertex. The medians intersect at a point called the centroid of the circle and divide the median in ...
Find the mass and center of mass of the lamina that occupies the region D and has the given density function (rho). D = {(x, y) | 0(less than or equal to) x (less than or equal to) 1, -1(less than or Find t...
Step by step video & image solution for If G is the centroid of a triangle ABC, prove that vec(GA)+vec(GB)+vec(GC)=vec(0). by Maths experts to help you in doubts & scoring excellent marks in Class 11 exams.Updated on:21/07/2023 ...
1.Understand the condition for collinearity: For three points to be collinear, the area of the triangle formed by these points must be zero. The formula for the area of a triangle given by points(x1,y1),(x2,y2), and(x3,y3)is: ...
If the centroid of the triangle formed by pointsP(a,b),Q(b,c)andR(c,a)is at the origin, what is the value ofa+b+c? View Solution If origin is the centroid of the triangle with vertices P(3a, 3, 6), Q (-4, 2b, -8) and R(8, 12, 2c), then ...
<p>To find the area of the triangle given the centroid and two vertices, we can follow these steps:</p><p><strong>Step 1: Identify the given information</strong> We have: - Centroid \( G(1, 4) \) - Vertex \( A(4, -8) \) - Vertex \( B(-9, 7) \) - Let the
Two sides of a triangle are 2x-y=0 and x+y=3. If its centroid is (2,3) then, prove its third is 5x-y-9=0