Home
Class 12
MATHS
Let A(0,1),B(1,1) ,C(1,-1) ,D(-1,0) be f...

Let `A(0,1),B(1,1) ,C(1,-1) ,D(-1,0)` be four points. If P is any other point, then `PA+PB+PC+PDged`, where `[d]` represents greatest integer.

Text Solution

Verified by Experts

The correct Answer is:
4
`(AP+PC)` is minimized when P lies on AC and `BP+PD` is minimized when P lies on BD. Thus.
`AP+PB+PC+PD=AC+BD=2sqrt(5)`
Promotional Banner

Topper's Solved these Questions

  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise JEE Main|6 Videos

  • COORDINATE SYSYEM

    CENGAGE PUBLICATION|Exercise Matrix match type|4 Videos

  • COORDINATE SYSTEM

    CENGAGE PUBLICATION|Exercise Multiple Correct Answers Type|2 Videos

  • CROSS PRODUCTS

    CENGAGE PUBLICATION|Exercise DPP 2.2|13 Videos

Similar Questions

Explore conceptually related problems

Let A=({:(1,1,1),(0,1,1),(0,0,1):}) . Then for positive integer n, A^n is

f:(2,3)->(0,1) defined by f(x)=x-[x] ,where [dot] represents the greatest integer function.

Find x satisfying [tan^(-1)x]+[cot^(-1)x]=2, where [] represents the greatest integer function.

lim_(xto0) [(1-e^(x))(sinx)/(|x|)] is (where [.] represents the greatest integer function )

Solve [cot^(-1) x] + [cos^(-1) x] =0 , where [.] denotes the greatest integer function

Find lim_(xto0) [x]((e^(1//x)-1)/(e^(1//x)+1)), (where [.] represents the greatest integer funciton).

Evaluate: [("lim")_(xrarr0)(tan^(-1)x)/x], where [.]represent the greatest integer function

Let g(x)=1+x-[x] and f(x)={-1,x 0. Then for all x,f(g(x)) is equal to (where [.] represents the greatest integer function). (a) x (b) 1 (c) f(x) (d) g(x)

Given four points A(2, 1, 0), B(1, 0, 1), C(3, 0, 1) and D(0, 0, 2) . Point D lies on a line L orthogonal to the plane determined by the points A, B and C. The equation of the plane ABC is

The point ([p+1],[p]) is lying inside the circle x^2+y^2-2x-15=0 . Then the set of all values of p is (where [.] represents the greatest integer function) (a) [-2,3) (b) (-2,3) (c) [-2,0)uu(0,3) (d) [0,3)