Two straight lines l and m pass through the point (1,1). Slope of line l passing through the point (0,a) is less than the slope of the line m that passes through the point(0,b).

  • Quantity A : a
  • Quantity B : b


  • Quantity A is greater than Quantity B
  • Quantity B is greater than Quantity A
  • Quantity A is equal to Quantity B
  • Relationship cannot be determined

If I have envisioned this properly, the figure looks something like this:


I think answer should be B, but it is given as A ie, a>b how is that possible?

  • $\begingroup$ In your image, the line going through $(0,b)$ has slope less than the line going through $(0,a)$. $\endgroup$ – A. Goodier Jun 16 '18 at 13:45
  • $\begingroup$ @A.Goodier because slope is of negative value, yes? $\endgroup$ – Shreya Chandwadkar Jun 16 '18 at 14:04
  • $\begingroup$ Yes, that's right $\endgroup$ – A. Goodier Jun 16 '18 at 14:12

Using the two point form for both lines,

$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Equation for the lines are:

$y=(1-a)x + a$ for line $l$

$y=(1-b)x + b$ for line $m$

Slope of line $l$ is less than that of $m$:

$1-a < 1-b$

$a > b$

  • $\begingroup$ Better approach, Thanks! :) $\endgroup$ – Shreya Chandwadkar Jun 17 '18 at 3:01

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