The normal at the point
P(4cos θ,3sin θ) on the
ellipse (x^2 /(16)) +(y^2 /9)=1 meets
the x−axis and y−axis
at A and B respectively
show that locus of the
mid−point of AB is an
ellipse with the same
eccentricity as given
ellipse.
Are f, g: R→R defined by
f(x)= { ((0, x ∈ R\Q)),((x, x ∈Q)) :}
g(x)= { ((1, x=0)),((0, x≠0)) :}
show that lim_(x→0) f(x)=0 and lim_(y→0) g(y)=0
however lim_(x→0) g(f(x)) does not exist.
Lines 5x+12y−10=0 and 5x−12y−40=0
touch circle C_1 of diameter 6. If the
center of C_1 lies in the Ist quadrant,
find the equation of circle C_2 which is
concentric with C_(1 ) and cuts intercept
of length 8 on these lines.
An element X has RAM
of 88g.when a current
of 0.5A was passed through
fused chloride of X for
32minutes and 10sec.
0.44g of X was deposited
at the cathode
(a)number of faraday?
(b)write formular of
X ions
(c)write the formular of OH