Visualising Cartesian System in One Dimension

Q.

Find the slope (m) and the y-intercept (c) of the line $x+y+5=0$.

1. m = 1, c = 5

2. m = -1, c = -5

3. m = -1, c = 5

4. m = 1, c = -5

Q. If $x$ varies directly as $y$, and $x=2$ when $y$ is 3 then $x=3$ when $y$ is

1. $\frac{2}{3}$
2. $\frac{9}{2}$
3. $2$
4. none of these

Q. The point P(–a², b³) lies in/on
बिंदु P(–a², b³) कौनसे विकल्प में/पर स्थित है?

1. II quadrant for a > 0 and b > 0
   a > 0 और b > 0 के लिए II चतुर्थांश में
2. Origin for all non-zero ‘a’ and ‘b’ if it satisfies the equation b³ = – a²
   सभी अशून्य ‘a’ व ‘b’ के लिए मूलबिंदु पर, यदि यह समीकरण b³ = – a² को संतुष्ट करता है
3. III quadrant if b³ + a² = 0 for non-zero ‘a’ and ‘b’
   III चतुर्थांश में यदि अशून्य ‘a’ व ‘b’ के लिए b³ + a² = 0
4. Negative x-axis, if b = 0 and a > 0
   ऋणात्मक x-अक्ष पर, यदि b = 0 और a > 0

Q. Find the slope (m) and the y-intercept (c) of the line $x+y+5=0$.

Q. Find the slope (m) and the y-intercept (c) of the line $x+y+5=0$.

Q. In the Given figure, L and M are the liquid are the mid-points of AB and BC respectively.
(i) If AB =BC, prove that AL=MC
(ii) If BL =BM, prove that AB=BC