KCET 2026 | Straight Lines and Pair of Straight Lines Question 1 | Mathematics

The line $L_2$ passing through $(3, -1)$ divides the line segment $L_1$ joining the points $(-1, 2)$ and $(3, 6)$ in the ratio $1 : 3$ internally. The equation of line $L_2$ is:

$4x - 3y - 9 = 0$

$4x - 3y + 9 = 0$

$4x + 3y - 9 = 0$

$4x + 3y + 9 = 0$

KCET 2025

MCQ (Single Correct Answer)

-0

The system of equations $4 x+6 y=5$ and $8 x+12 y=10$ has

No solution

Infinitely many solutions

A unique solution

Only two solutions

KCET 2025

MCQ (Single Correct Answer)

-0

A line passes through $(-1,-3)$ and perpendicular to $x+6 y=5$. Its $x$ intercept is

$\frac{1}{2}$

$-\frac{1}{2}$

-2

KCET 2024

MCQ (Single Correct Answer)

-0

The angle between the line $x+y=3$ and the line joining the points $(1,1)$ and $(-3,4)$ is

$\tan ^{-1}(7)$

$\tan ^{-1}\left(-\frac{1}{7}\right)$

$\tan ^{-1}\left(\frac{1}{7}\right)$

$\tan ^{-1}\left(\frac{2}{7}\right)$

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