Home
Class 10
MATHS
If A(3, sqrt(3)), B(0,0) and C(3,k) are ...

If `A(3, sqrt(3))`, B(0,0) and C(3,k) are the three vertices of an equilateral triangle ABC, then the value of k is

A

2

B

`-3`

C

`sqrt(3)`

D

`-sqrt(2)`

Text Solution

AI Generated Solution

Promotional Banner

Topper's Solved these Questions

  • QUESTION PAPER 2022 TERM 1 SET 1 STANDARD

    X BOARDS|Exercise SECTION-B |20 Videos

  • QUESTION PAPER 2022 TERM 1 SET 1 STANDARD

    X BOARDS|Exercise SECTION-C (CASE STUDY)|10 Videos

  • QUESTION PAPER 2022 TERM 1 SET 1 BASIC

    X BOARDS|Exercise SECTION-C (CASE STUDY)|10 Videos

  • QUESTION PAPER 2022 TERM 1 SET 2 BASIC

    X BOARDS|Exercise SECTION C (Case Study Based Question)|10 Videos

Similar Questions

Explore conceptually related problems

If points O(0,0) A(3,sqrt(3)) and B(3,a) are the vertices of an equilaterla triangle then a=

If the points (1, 1), (-1, -1) and (-sqrt(3),k) are vertices of a equilateral triangle then the value of k will be : (a)1 (b)-1 (c) sqrt3 (d) -sqrt3

Show that the points O(0, 0), A(3, sqrt(3)) "and "B(3, -sqrt(3)) are the vertices of an equilateral triangle. Find the area of this triangle.

If the points (1,1),(-1,-1) and (-sqrt(3),k) are vertices of a equilateral triangle then find thevalues of k .

If A(4, 3), B(0, 0) and C(2, 3) are the vertices of a triangle ABC , find the equation of the bisector of angle A .

If A(0, 0), B(theta, cos theta) and C(sin^(3) theta, 0) are the vertices of a triangle Abc, then the value of theta for which the triangle has the maximum area is ("where "theta in (0, (pi)/(2)))

If the two vertices of an equilateral triangle be (0,0),(3,sqrt(3)), find the third vertex.

Let A(1, 3), B(0, 0) and C(k, 0) be three points such that ar(triangle ABC) =3 sq units. Find the value of k.

Show that the points A(1,2),B(1,6), C(1 + 2sqrt(3),4) are the vertices of an equilateral triangle .

Prove that the points A(2, 4), B(2, 6) and C(2 + sqrt(3) , 5) are the vertices of an equilateral triangle.