Home
Class 12
MATHS
Show that the relation R defined in the ...

Show that the relation R defined in the set A of all triangles as `R = {(T_(1),T_(2)}T_(1)` is similar to `T_2` } , is equivalence relation . Consider three right angle triangles `T_1` with sides 3,4,5 , `T_2` with sides 5,12, 13 and `T_3` with sides 6, 8, 10 . Which triangles among `T_1 , T_2 and T_3` are related ?

Promotional Banner

Topper's Solved these Questions

  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.2|17 Videos
  • RELATIONS AND FUNCTIONS

    KUMAR PRAKASHAN|Exercise EXERCISE 1.3|29 Videos
  • PROBABILITY

    KUMAR PRAKASHAN|Exercise Practice Paper - 13 (Section - D (Answer the following questions))|2 Videos
  • THREE DIMENSIONAL GEOMETRY

    KUMAR PRAKASHAN|Exercise PRACTICE PAPER -11|16 Videos

Similar Questions

Explore conceptually related problems

Show that the relation R defined in the set A of all polygons as R = {(P_(1),P_2):P_1 and P_2 have same number of sides} , is an equivalence relation . What is the set of all elements in A related to the right angle triangle T with sides 3,4 and 5 ?

Let T be the set of all triangles in a plane with R a relation in T given by R ={(T _(1) , T _(2)): T _(1) is congruent to T _(2) } Show that R is an equivalence relation.

Show that the sequence t_(n) defined by t_(n)=2*3^(n)+1 is not a GP.

Calculate a, T_(1), T_(2), T_(1)' & T_(2)' .

The surface are frictionless, the ratio of T_(1) and T_(2) is

Find the equation of the straight lines passing through the following pair of point: (a t_1, a//t_1) and (a t_2, a//t_2)

Let T be set of all triangle in the Euclidean plane , and let a relation R on T be defined as aRb if a is congruent to b,AA "a",b inT . Then, R is ....

The tangents to the parabola y^2=4ax at P(at_1^2,2at_1) , and Q(at_2^2,2at_2) , intersect at R. Prove that the area of the triangle PQR is 1/2a^2(t_1-t_2)^3

A carnot engine operating between temperatures T_(1) and T_(2) has efficiency 1/6 . When T_(2) is lowered by 62K, its efficience increases to (1)/(3) . Then T_(1) and T_(2) are respectively:

If in the expansion of (a+b)^(n) , (T_(2))/(T_(3)) is equal to (T_(3))/(T_(4)) in the expansion of (a+b)^(n+3) then n = ……….