Go back to Pascal's triangle .
Line -1 : ` 1=11^(0)`
Line -2 : ` 11 = 11^(1)`
Line-3 : `121 = 11^(2)`
Make a conjecture about Line-4 and Line-5 .
Does your conjecture hold ? Does your conjecture hold for Line -6 too ?

Find the acute angle between the lines 7x-4y =0 and 3x-11y +2=0.

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 .

If the angle between two lines is pi/4 and slope of one the lines is 1/2 , find the slope of the other line.

The acute angle between the two lines' 7x - 4y = 0 and 3x -11y = 2 will be

If the straight line (a-1)x-by+4=0 is normal to the hyperbola xy=1 then which of the following does not hold ?

The slope of a line through A(1,1) is 1. Find the point of the line at a distance 5sqrt2 from A.

If the straight line (a-1)x-by+4=0 is normal to the hyperbola xy=1 then which of the followings does not hold?

Solve the inequation 10+11/4xle5x+1 when x in Z In each case, represent the solution set on real number line.

Solve the inequation 10+11/4xle5x+1 when x in N In each case, represent the solution set on real number line.

Solve the inequation 10+11/4xle5x+1 when x in R In each case, represent the solution set on real number line.