Banner 0
Banner 1
Banner 2
Banner 3
Banner 4
Banner 5
Banner 6
Banner 7
Banner 8
Banner 9

Q.

Vertices of an equilateral triangle are A, B, C which are oriented in clockwise sense and A(3, 4), B(3, 6) then C is

see full answer

Your Exam Success, Personally Taken Care Of

1:1 expert mentors customize learning to your strength and weaknesses – so you score higher in school , IIT JEE and NEET entrance exams.
An Intiative by Sri Chaitanya

a

(3+3,5)

b

3-3,5

c

3, 5

d

5, 3

answer is A.

(Unlock A.I Detailed Solution for FREE)

Best Courses for You

JEE

JEE

NEET

NEET

Foundation JEE

Foundation JEE

Foundation NEET

Foundation NEET

CBSE

CBSE

Detailed Solution

Let C=(x, y) be the third vertex of triangle ABC having two vertices at A=(3, 4), B=(3, 6).

Since le ABC is an equilateral triangle then

Question Image

AB=BC=CA Now AB2=BC2  0+(2)2=(x-3)2+(y-6)2   (x-3)2+(y-6)2=4   -   (1) BC=CA  BC2=CA2            (x-3)2+(y-6)2=(x-3)2+(y-4)2              (y-6)2-(y-4)2=0                             y2+36-12y-y2-16+8y=0             -4y+20=0                   -4y=-20                   y=5 from (1), (x-3)2+(1)2=4                    (x-3)2=3                    x-3=3                   x=3+3

Watch 3-min video & get full concept clarity
score_test_img

courses

No courses found

Ready to Test Your Skills?

Check your Performance Today with our Free Mock Test used by Toppers!

Take Free Test

Get Expert Academic Guidance – Connect with a Counselor Today!

best study material, now at your finger tips!

  • promsvg

    live classes

  • promsvg

    progress tracking

  • promsvg

    24x7 mentored guidance

  • promsvg

    study plan analysis

download the app

gplay
mentor

Download the App

gplay
whats app icon
personalised 1:1 online tutoring