Let the four consecutive compartments made by the lines `2x-3y+1=0 and 3x-5y+2=0` be I, II, III and IV respectively. Let (0, 0) belong to compartment I. We associate four numbers 100, 200, 300 and 400 to the compartments I, II, III and IV respectively. Then the number associated to the compartment in which `(-1, 1)` belong is ...

Two lines 2x - 3y = 1 and x + 2y + 3 = 0 divide the xy plane in four compartments which are named as shown in the figure. Consider the locations of the points (2, -1), (3, 2) and (-1, - 2) .

Find the slope and the y-intercept of the line: (i) 2x-3y+5=0 (ii) 2y+5x=7 (iii) 2y-5=0

A rigid and insulated tank of 3m^(3) volume is divided into two compartments. One compartment of volume of 2m^(3) contains an ideal gas at 0.8314 Mpa and 400 K while the second compartment of volume of 1m^(3) contains the same gas at 8.314 Mpa and 500 K. If the partition between the two compartments is rptured, the final temperature of the gas is :

Represent the following decimal numbers on the number line: (i)0.2 (ii)1.9 (iii)1.1 (iv)2.5

The oxidation number of hyrogen is (i) 0 (ii) +1 (iii) -1 (iv) + 1 only.

Tick the correct answer. the smallest natural number is (i) 0 ii. 1. iii. 2 iv. Not defined

Find the equation of the straight line which passes through the intersection of the lines x-y-1=0 a n d 2x-3y+1=0 and parallel (i) x -axis (ii) y -axis (iii) 3x+4y=14.

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

Find the angle between the following pairs of lines : (i) x+2y-1=0 and 2x-y+3=0 (ii) y=5x+1 and y=-3x+2

A line passes through P(1,2) such that the portion of the line intercepted between the axes is bisected at P. The equation of the line is (i) x+2y-5=0 (ii) x-y+1=0 (iii) x+y-3=0 (iv) 2x+y-4=0