The straight line 2x - 3y = 1 divides the circular region `x^2+y^2le6` into two parts. If
`S = {(2,3/4),(5/2,3/4),(1/4,-1/4),(1/8,1/4)}`,
then the number of point(s) in S lying inside the smaller part is

The lines 4x+4y =1,8x -3y =2 and y=0 are-

The distance of the line 2x-3y=4 from the point (1,1) in the direction of the line x+y=1 is

Find the ratio in which the plane 2x + 2y - 2z = 1 divides the line segment joining the points A(2,1, 5) and B(3, 4, 3). Find the co¬ ordinate of point of contact.

The parabolas y^(2)= 4x and x^(2) = 4y divide the square region bounded by the line x = 4 , y = 4 and the coordinate axes into three parts. If S_(1), S_(2), S_(3) are respectively the areas of these three parts numbered from top to bottom then S_(1) : S_(2) : S_(3) is-

The line segment joining the points (1,2) and (-2, 1) is divided by the line 3x+4y=7 in the ratio

The distance of the line 2x -3y =4 from the point (1,1) measured parallel to the line x+y=1 is-

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then (a) S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2

If XxxY = {(1, 2),(4, 3), (5, 2),(1, 4),(4, 2), (5, 4),(1, 3),(4, 4),(5, 3)}, find X and Y.

If A({:(1,3,4),(3,-1,5),(-2,4,-3):})=({:(3,-1,5),(1,3,4),(+4,-8,6):}) , then A=

The parabolas y^2=4xa n dx^2=4y divide the square region bounded by the lines x=4,y=4 and the coordinate axes. If S_1,S_2,S_3 are the areas of these parts numbered from top to bottom, respectively, then S_1: S_2-=1:1 (b) S_2: S_3-=1:2 S_1: S_3-=1:1 (d) S_1:(S_1+S_2)=1:2