Home
Class 11
MATHS
P is the circumcenter of an equilateral ...

P is the circumcenter of an equilateral triangle ABC of side lengh `sqrt3 " units then the value of " PA^2+PB^2+PC^2` is

Text Solution

Verified by Experts

The correct Answer is:
c
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -I Straight Objective Type Question)|24 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise PRACTICE SHEET(EXERCISE-I Problems on slopes, Equation of Lines and Interceptes of a line , Areas) (LEVEL -II More than One correct answer Type Questions)|2 Videos

  • STRAIGHT LINES

    AAKASH SERIES|Exercise LECTURE SHEET(EXERCISE-IV Problems on Anle between lines, Foot, Image Orthocentre, Circumcentre, Incentre, Angle Bisectors and Locus )(Linked comprehension Type Question)|15 Videos

  • REVISION EXERCISE

    AAKASH SERIES|Exercise PROPERTIES OF TRIANGLES|57 Videos

  • TANGENT AND NORMAL

    AAKASH SERIES|Exercise ADVANCED SUBJECTIVE TYPE QUESTIONS|48 Videos

Similar Questions

Explore conceptually related problems

Area of an equilateral triangle whose side is 2 cm is

Find the height of an equilateral triangle of side x + 2.

Knowledge Check

  • If 2sqrt3 is the inradius of an equilateral triangle then the length of its side is

    A
    ` 6`
    B
    ` 12`
    C
    `8`
    D
    ` 12`

  • If the side of an equilateral triangle is 2sqrt3 then each of exradii is

    A
    ` 1`
    B
    ` 2`
    C
    ` 3`
    D
    ` 4`

  • In a triangle ABC if 2a= sqrt(3)b+c then

    A
    `c^(2)=a^(2)+b^(2)-ab`
    B
    `a^(2)=b^(2)+c^(2)`
    C
    `b^(2)=a^(2)+c^(2)-ac sqrt(3)`
    D
    `a=b=c`

    • Similar Questions

    Explore conceptually related problems

    Let the point P lies in the interior of an equilateral triangle with side lengths 2 units, each. Find the sum of the shortest distances from P to the sides of the triangle.

    In an equilateral triangle ABC, if AD is the altitude prove that 3AB^2 = 4AD^2 .

    P is a point on the circuncirCle of an. equilateral trIngle ABC of side a. Then PA^(2)+PB^(2)+PC^(2)=

    In triangle ABC, line joining the circumcenter and orthocenter is parallel to side AC, then the value of tanA tan C is equal to

    The area of equilateral triangle is 36sqrt(3) cm^(2) then the perimeter is ……… cm.

    Home
    Profile