MyQuestionIcon

1

You visited us 1 times! Enjoying our articles? Unlock Full Access!

Angle between Two Lines

The base of a...

Question

The base of a triangle lies along the line $x = a$ and is of length a. The area of the triangle is $a^{2} .$ The locus of the third vertex is

Open in App

Solution

Area $= a^{2}$
$\Rightarrow \frac{1}{2} \times a \times d = a^{2} \Rightarrow d = 2 a$
Perp. dist. $d = ∣ ∣ ∣ \frac{h (1) + k (0) - a}{\sqrt{1}} ∣ ∣ ∣$
$\Rightarrow 2 a = | h - a |$
$h + 3 a = 0$ or $h + a = 0$

Suggest Corrections

thumbs-up

0

Similar questions

Q. The base of a triangle lies along

x = a

and is of length

a

. If the area of the triangle is

a^{2}

, then the locus of its vertex is

Q. The base of a triangle lies along the line

x = a

and is of length

a

. If the area of the triangle is

a^{2}

, the vertex lies of the line.

Q. The base of a triangle lies along the line

x =

and is of length

a

. The area of the triangle is

a^{2}

, if the vertex lies on the line

(1, - 2)

(- 3, 4)

are two vertices of a triangle whose centroid lies on the line

x + 3 y = 4

, then locus of third vertex of the triangle is

Q. I: A straight line is such that the algebraic sum of the distance from any no. of fixed points is zero. Then that line always passes through a fixed point
II: The base of the triangle lie along the line

x = a

and is of length

a .

If the area of the triangle is

a^{2}

then the third vertex lies on

x = - a

x = 3 a

Then which of the following is true.

View More

Join BYJU'S Learning Program

similar_icon

Related Videos

lock

Tango With Straight Lines !!

MATHEMATICS

Watch in App

explore_more_icon

Explore more

Angle between Two Lines

Standard XII Mathematics

Join BYJU'S Learning Program

CrossIcon