In the given figure, PA is the bisector of ∠QPR and PM ⊥ QR. Prove that ∠APM=1/2(∠Q−∠R) Class 09 math chapter triangle
in Triangle PQM : <Q + <QPM = 90 in Triangle RPM: <R + <RPM = 90 <Q - <R < <RPM - <QPM =(1/2 <P +<APM) - (1/>P -<APM) =2<APM search term in, triangle, pqr, prove, q, r, 2, apm in, given, fig, ,pa, bisector, ∠, qpr, pm, ⊥, qr
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Question: If 2x = 3y = 6-z then Prove that 1/x + 1/y + 1/z=0
Solution: 2x = 6 -z Þ 2 = 6-z/x -------------(i) 3y = 6 -z Þ 3 = 6-z/y -------------(ii) Multiplying (i)and(ii) 2x3 = 6-z/x x 6-z/y 61 = 6-z/x +-z/y Þ1 = (-z/x) +(-z/y) Þ1= -z(1/x +1/y) Þ1/-z = 1/x +1/y Þ 1/x + 1/y + 1/z = 0 |