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Sia ? 6 years, 4 months ago
The point on y-axis that is nearest to the point(-2,5) is (0,5).
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After refraction at two parallel faces of a glass slab, a ray of light emerges in a direction parallel to the direction of incidence of white light. As rays of all colours emerge in the same direction, i.e., the direction of the incidence of white light, there is no dispersion. However, there is lateral displacement.
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Sia ? 6 years, 5 months ago
Let a be the first term and d be the common difference of the given AP. Then, in general the mth and nth terms can be written as
Tm = a + (m - 1) d and Tn = a + (n - 1)d respectively.
According to the question,we are given that,
(m.Tm) = (n.Tn)
{tex}\Rightarrow{/tex} m.{a + (m - 1)d} = n.{a + (n - 1)d}
{tex}\Rightarrow{/tex} a.(m - n) + {(m2 - n2) - (m - n)} . d = 0
{tex}\Rightarrow{/tex} (m - n).{a + (m + n - 1)}d.
{tex}\Rightarrow{/tex} (m - n).Tm+n = 0
{tex}\Rightarrow{/tex}Tm+n = 0 [{tex}\because{/tex} (m-n){tex}\neq{/tex}0].
Hence, the (m + n)th term is zero.
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