Find the point on the x-axis which is equidistant from the points (2,−5) and (−2,9).
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See Fig.3.14. and write the following:(i) The coordinates of B.(ii) The coordinates of C.(iii) The point identified by the coordinates (3, 5).(iv) The point identified by the coordinates (2, 4)˙ (v) The abscissa of the point D.
(vi) The ordinate of the points H.
(vii) The coordinates of the points L.
(viii) The coordinates of the point M.
If three points are A(−2,1)B(2,3),andC(−2,−4)
, then find the angle between ABandBC˙
If two vertices of a triangle are (1,3) and (4,-1) and the area of triangle is 5 sq. units, then the angle at the third vertex lies in :
Four points A(6,3),B(−3,5),C(4,−2)
are given in such a way that (AreaofABC)(AreaofDBC)=21˙
Find the area of the pentagon whose vertices are A(1,1),B(7,21),C(7,−3),D(12,2),
internally in the ratio λ1:λ2
externally in the ratio λ1;λ2,
then prove that OA
is the harmonic mean of OP
Which of the following sets of points form an equilateral triangle?
(d) None of these
If P(1,2)Q(4,6),R(5,7), and S(a,b) are the vertices of a parallelogram PQRS, then (a)a=2,b=4 (b) a=3,b=4
(c)a=2,b=3 (d) a=1orb=−1