Two sides of a triangle are parallel to the coordinate axes. If the slopes of the medians through the acute angles of the triangle are 2 and `m ,` the `m=` `1/2` (b) 2 (c) 4 (d) 8

The lengths of the medians through acute angles of a right-angled triangle are 3 and 4. Find the area of the triangle.

Two sides of a triangle are along the coordinate axes and the medians through the vertices (other than the origin) are mutually perpendicular.The number of such triangles is/are zero (b) two (c) four (d) infinite

The sides of a triangle are m, n and sqrt(m^(2)+n^(2)+mn) ., What is the sum of the acute angles of the triangle?

If a plane meets the coordinate axes at A,B and C such that the centroid of the triangle is (1,2,4) then the equation of the plane is

It is desired to construct a right angled triangle ABC (/_C=(pi)/(2)) in x -y plane so that its sides are parallel to coordinates axis and the medians through A and B lie on the lines y=3x+1 and y=mx+2 respectively.The values of m for which such a triangle is possible is/are

If a^(2)+b^(2)+c^(2)=ab+bc+ca where a,b,c are the sides of a triangle,then the largest angle of that triangle is

A triangle must have ( 1) Exactly two acute angles (2) At least two acute angles (3) Exactly three acute angles (4) At most one acute angle