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If the distances from origin of the centres of 3 circles x2+y2+2alphaix= a2 (i=1,2,3) are in G.P. , then length of the tangents drawn to them frm any point on the circles x2+y2 = a2 are in :(a) A.P (b) G.P (c) H.P (d) None of theseAns) Ccentres of the 3 circles are (-alphai,0) (i= 1,2,3)Distances of thes from origin are alpha1, alpha2, alpha 3now (alpha2)^2= (alpha1)(alpha3)Also general point on x2+y2=a2 is (a costheta, a sintheta) length of tangent from this point on the given circle issqrt( (a cos theta)2+(a sintheta)2 +2alphai(a costheta) -a2)) = sqrt ( 2alphai(a costheta))now as alpha 1, alpha 2, alpha 3 are in GPthen sqrt alpha 1, sqrt alpha 2, sqrt alpha 3 are in gp then sqrt 2acos theta alpha 1 , 2acos theta alpha 2 and sqrt 2acos theta alpha 3 are also in GP
class 10 Q.trigonometric formula of 1 term
Determine the equation of the tangent line to r = 3 + 8 sinθ at θ = Π/6. Solution We'll first need the subsequent derivative. dr/dθ = 8 cosθ The formula for the deriv
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A concrete retaining wall is 120 feet long with ends shaped as given. How many cubic yards of concrete are required to construct the wall? a. 217.8 yd 3 b. 5,880 yd 3
40000*1000
the sum of the interior angles of a convex rectilinear figure is equal to sum of the exterior angles. then the number of sides is
Let's take a look at one more example to ensure that we've got all the ideas about limits down that we've looked at in the last couple of sections. Example: Given the below gr
how it will be ? = ? + Ø
who discovered unitary method??
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