AP EAPCET 2025 - 21st May Morning Shift | Straight Lines and Pair of Straight Lines Question 50 | Mathematics

If the straight line $2 x+3 y+1=0$ bisects the angle between two other straight lines one of which is $3 x+2 y+4=0$, then the equation of the other straight line is

$3 x+16 y-7=0$

$9 x+46 y-28=0$

$9 x-23 y-26=0$

$18 x-23 y+15=0$

AP EAPCET 2025 - 21st May Morning Shift

MCQ (Single Correct Answer)

-0

If the slope of both the line given by $x^2+2 h x y+6 y^2=0$ are options and the angle between these lines is $\tan ^{-1}\left(\frac{1}{7}\right)$, then the product of the perpendiculars draw from the point $(1,0)$ to the given pair of lines is

$\frac{1}{6}$

$\frac{1}{5 \sqrt{2}}$

$\frac{5}{6}$

$\frac{1}{3 \sqrt{2}}$

AP EAPCET 2025 - 21st May Morning Shift

MCQ (Single Correct Answer)

-0

If one of the lines represented by $a x^2+2 h x y+b y^2=0$ bisects the angle between the positive coordinates axes, then

$a+b=2 h$

$a-b=2 h$

$a+2 h+b=0$

$a+2 h-b=0$

AP EAPCET 2024 - 23th May Morning Shift

MCQ (Single Correct Answer)

-0

The locus of the mid-point of the portion of the line $x \cos \alpha+y \sin \alpha=p$ intercepted by the coordinate axes, where $p$ is a constant, is

$\frac{1}{x^2}+\frac{1}{y^2}=\frac{3}{p^2}$

$\frac{1}{x^2}+\frac{1}{y^2}=\frac{4}{p^2}$

$x^2+y^2=2 p^2$

$\frac{2}{x^2}+\frac{2}{y^2}=\frac{1}{p^2}$

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