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 ?

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 of the lines is 1/2 , find the slope of the other line.

Find the equation of the circle passing through the points (2,3) and (-1,1) and whose centre is on the line x - 3y - 11 = 0.

Find equation of line whose y- intercept is (4)/(3) and perpendicular to the line 3x-4y+11=0 .

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

Line joining the points (3,-4) and (-2, 6) is perpendicular to the line joining the points (-3, 6) and (9,-18) .

Statement-1 line (x-1)/(3)=(y-2)/(11)=(z+1)/(11) lies in the plane 11x-3z-14=0 . Statement-2 A straight line lies in a plane, if the line is parallel to plane and a point of the line in the plane.

Two sides of the triangle are along the lines 3x-2y+6=0 and 4x+5y-20=0 . If ortho centre of the triangle is (1,1) . Find the equation of third side of the triangle.

The equation of the line passing through the point (1, 2) and perpendicular to the line x+y + 1 = 0 is