-1
$\begingroup$

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

Options:

  • 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:

Figure

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

$\endgroup$
  • $\begingroup$ 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
1
$\begingroup$

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 $m$:

$1-a < 1-b$

$a > b$

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

Your Answer

By clicking “Post Your Answer”, you agree to our terms of service, privacy policy and cookie policy

Not the answer you're looking for? Browse other questions tagged or ask your own question.