Home
Class 12
MATHS
Sides AB and AC in an equilateral trian...

Sides AB and AC in an equilateral triangle ABC with side length 3 is extended to form two rays from point A as shown in the figure. Point P is chosen outside the triangle ABC and between the two rays such that `angleABP+angleBCP=180^(@)`. If the maximum length of CP is M, then `M^(2)//2` is equal to :

Text Solution

Verified by Experts

The correct Answer is:
6
Promotional Banner

Topper's Solved these Questions

  • SOLUTION OF TRIANGLES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-4 : Matching Type Problems|2 Videos

  • SEQUENCE AND SERIES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise EXERCISE (SUBJECTIVE TYPE PROBLEMS)|21 Videos

  • STRAIGHT LINES

    VIKAS GUPTA (BLACK BOOK) ENGLISH|Exercise Exercise-5 : Subjective Type Problems|10 Videos

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.

An equilateral triangle has side length 8. The area of the region containing all points outside the triangle but not more than 3 units from a point on the triangle is :

The P lies on side AB of an equilateral triangle ABC. Arrange AC, AP and CP in descending order.

ABC is an equilateral triangle. Length of each side is 'a' and centroid is point O. Find vec(AB)+vec(BC)+vec(CA)

Let ABC be an equilateral triangle, let KLMN be a rectangle with K, L on BC , M on AC and N on AB. Suppose AN//NB = 2 and the area of triangle BKN is 6. The area of the triangle ABC is -

Let a point P lies inside an equilateral triangle ABC such that its perpendicular distances from sides are P_(1),P_(2),P_(3) .If side length of triangle ABC is 2 unit then

Let G be the centroid of triangle ABC and the circumcircle of triangle AGC touches the side AB at A If BC = 6, AC = 8 , then the length of side AB is equal to

ABC is an equilateral triangle of side 2m. If vec(E ) = 10 NC^(-1) then V_(A) - V_(B) is

In an equilateral triangle ABC, D is a point on side BC such that B D=1/3B C . Prove that 9A D^2=7A B^2 .

The length of the side of an equilateral triangle inscribed in the parabola, y^2=4x so that one of its angular point is at the vertex is: