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1)If α and β are ends of a focal chord of an ellipse of eccentricity e, find tan(α/2).tanβ(/2) 2)Normals drawn to ellipse x2/a2 + y2/b2 =1 at P meet the coordinate axes at A, B. Find the locus of mid point of A and B. 3)A ...
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There is an equiconvex lens of focal length of 20 cm.If the lens is cut into two equal parts perpendicular to the principle axis,the focal length of each part will be- (a)20cm (b)10cm (c)40cm (d)15cm ...
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Let f(x ) = x3 + 3x + 2 and g (x ) is the inverse of it. Find the area bounded by g (x ), the x-axis and the ordinate at x = – 2 and x = 6. ...
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Let f(x ) = x3 + 3x + 2 and g (x ) is the inverse of it. Find the area bounded by g (x ), the x-axis and the ordinate at x = – 2 and x = 6. ...
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Q.1 In how many ways can clean & clouded (overcast) days occur in a week assuming that an entire day is either clean or clouded. Q.2 Four visitors A , B , C & D arrive at a town which has 5 hotels . In how many ways can they ...
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1-bromo prop-1-ene + Bu-Li+ → A A+CuI + ether → B B+ 3-bromo cyclohex-1-ene → C what is C? plz briefly specify the mechanism ...
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Find equivalent resistance between A & B. *Image* ...
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Please use the shortest method possible and show the working ∫ 2 sin x + 3cosx/3sin x+4 cos x ...
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Let f:R-->R be a continuous function such that f(x)-2f( x/2 )+f( x/4 ) = x2. f(3) is equal to (A) f(0) (B) 4+f(0) (C) 9+f(0) (D) 16+f(0). The equation f(x)-x-f(0) = 0 has exactly (A) No solution (B) One solution (C) Two so ...
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Advanced 2 Q . 57 part (p) lim(x→0) √(2-2cosx)/2x = ? ...
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\hspace{-16}$How can I calculate Cont. and Diff. of $\bf{f(x) = \lim_{n\rightarrow \infty}\bold{\sqrt[2n]{\bold{\sin^{2n}x+\cos^{2n}x}}}}$ ...
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Given:- k = lim (x→ ∞) [ Σ(k=1 to k=1000){ x + k} m ] / [ x m + 10 1000 ] where m > 101. ...
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Advanced 2 Q . 57 part (p) lim(x→0) √(2-2cosx)/2x = ? ...
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More than one option may be correct. *Image* ...
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5 pirates of different ages have a treasure of 100 gold coins. On their ship, they decide to split the coins using this scheme: The oldest pirate proposes how to share the coins, and ALL pirates (including the oldest) vote fo ...
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easy one... Find the minimum value of the sum of squares of all trigonometric ratios? Hint:Integer-type answer... :P ...
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