COMEDK 2023 Evening Shift | Straight Lines and Pair of Straight Lines Question 13 | Mathematics

In a $$\triangle A B C$$, if coordinates of point $$A$$ is $$(1,2)$$ and equation of the medians through $$B$$ and $$C$$ are $$x+y=5$$ and $$x=4$$ respectively, then the coordinates of $$B$$ is

(4, 1)

$$ (7,-2) $$

$$ (1,4) $$

$$ (-2,7) $$

COMEDK 2023 Evening Shift

MCQ (Single Correct Answer)

-0

What can be said regarding a line if its slope is negative?

$$\theta$$ is an obtuse angle

$$\theta$$ is equal to zero

Either the line is $$x$$ axis or it is parallel to the $$x$$ axis

$$\theta$$ is an acute angle

COMEDK 2022

MCQ (Single Correct Answer)

-0

Let the equation of the pair of lines $$y=p x$$ and $$y=q x$$ can be written as $$(y-p x)(y-q x)=0$$. Then the equation of the pair of the angle bisectors of the line $$x^2-4 x y-5 y^2=0$$ is

$$x^2-3 x y+y^2=0$$

$$x^2+4 x y-y^2=0$$

$$x^2+3 x y-y^2=0$$

$$x^2-3 x y-y^2=0$$

COMEDK 2022

MCQ (Single Correct Answer)

-0

The distance of the point $$(1,2)$$ from the line $$x+y+2=0$$ measured along the line parallel to $$2 x-y=5$$ is equal to

$$\frac{125}{3}$$

$$\frac{125}{\sqrt{3}}$$

$$\frac{5 \sqrt{5}}{3}$$

$$\frac{5 \sqrt{3}}{3}$$

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