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The minimum value of √(ex2 - 1) is
is equal to
On applying the L' hospital rule, we get Ltx→0 Sin x = 0.
If sin (sin-1 1/7 + cps-1 x) = 1, then x is equal to
If (√8+i)50 = 349 (a + ib), then a2 + b2 is
If the roots of the equation ax2 + bx + c = 0 are of the form k+1/k and k+2/k+1 then (a + b + c)2 is equal to
The coefficient of x5 in (1+2x+3x2+……….up to infinite term)-3/2 is
(1+2x+3x2+………)–3/2
=((1–x)–2)–3/2
= (1 − x)3 = 1 − 3x + 3x2 − x3
∴coefficient of x5 = 0.
The equation of the normal to the ellipse x2/a2 + y2/b2 = 1 at the positive end of the latus rectum is
If the latus rectum of a hyperbola through one focus, subtends 60 ° angle at the other focus, then its eccentricity is
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