Question Bank - Mathematics

Here's the question bank on all the mathematics topics.

A straight line passes through the point of intersection of x + 2y + 2 = 0 and 2x - 3y - 3 = 0. It cuts equal intercepts in the fourth quadrant. What is the sum of the absolute values of the intercepts?

A.
2
B.
3
C.
4
D.
6

Solution:

Concept:A positive slope means y increases as x increases (visually, the line moves up as you go from left to right).A negative slope means y decreases as x increases (visually, the line moves down as you go from left to right).Calculation:Given:x + 2y + 2 = 0 ------(i)2x - 3y - 3 = 0 ------(ii)By solving (i) and (ii) we get the point of intersection of the lines.So x = 0 and y = -1The point of intersection is (0, -1)Given that the line makes equal intercepts with axes. So slope (m) can be tan ? = 1or -1 but it is in the fourth quadrant so, it is positive.Then the equation of the line is y - y1 = m(x - x1)? y - (-1) = 1(x - 0)? y + 1 = x? x - y = 1From this equation, the intercept on the x and y axes are 1 and -1 respectively.? The sum of the absolute values of the intercepts = 2.

For more questions,

Click Here

Download Gyanm App

free current affairs for competitive exams

Scan QR code to download our App for
more exam-oriented questions

free current affairs for competitive exams

OR
To get link to download app

Thank you! Your submission has been received. You will get the pdf soon. Call us if you have any question: 9117343434
Oops! Something went wrong while submitting the form.