Find : `111^(2)`

Freshly prepared a-D-glucose solution has specific rotation +111^(@) and after sometime it becomes

Freshly prepared alpha-D- glucose solution has specific rotation +111^(@) and after sometime it becomes

Look at the following pattern: 1^(2) = 1 11^(2) =121 111^2 = 12321 1111^(2)=1234321 11111^2 = 123454321 Make a conjecture about about each of the following : 111111^2=.............. 1111111^2=........... Check if your conjecture is true .

Prove that the points (1,11),(2,15),(-3,-5) are collinear and find the equation of the straight line containing them.

Prove that the point (1,11),(2,15),(-3,-5) are collinear and find the equation of the straight line containing them.

A line is drawn from the point P (1,1,1) and Perpendicular to a line with direction ratios (1,1,1) to intersect the plane x + 2y + 3z = 4 at Q. The locus of point Q is

Write the following numbers in expanded form : 111

If the triangle ABC whose vertices are A(-1,1,1), B(1,-1,1) and C(1,1,-1) is projected on XY plane and the area of the projected triangle is m then find (m(m+1))/(2)

Find the vector equation of the plane passing through the intersection of the planes barr.(bari +barj+bark) = 6 and barr. (2bari+3barj+bark) = -5 " and the point " (1,1,1) .

The centre of mass of two particles with masses 2kg and 6 kg located at (1,1,1), (2,2,1) respectively has the coordinates