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Plz giv me the properties of determinants useful for iitjee. Also giv me some tips. ...
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If the median of ΔABC through A is perpendicular to AB then, a)tanA+tanB=0 b)2tanA+tanB=0 c)tanA+2tanB=0 d)NOT ...
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Plz giv me some nice sites where i can learn calculus. :) ...
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If the straight lines x-1/k=y-2/2=z-3/3 and x-2/3=y-3/k=z-1/2 intersect at a point then k is equal to (a)5 (b)2 (c)-2 (d)-5 ...
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Plz giv me the properties of matrices useful for iitjee. Also giv me some tips. ...
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Plz giv me some nice sites where i can learn some calculus for competitive exams ...
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The solution of the differential equation xy(∂2y/∂x2)+ x(∂y/∂x)2 + y∂y/∂x =0 is:- ...
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The mean value theorem is applicable to f(x)=(x-1)2/3 in the interval..... a)[-2,2] b)[2,4] c)[0,2] d)any finite interval ...
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The sum of all 5 digit nos. formed by the digits 1,3,5,7,9 when repetetions are alowed is a)66666600 b)6666600 c)56*11111 d) 55*11111 ...
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FIND THE SOLUTION OF THE DIFFERENTIAL EQUATION 9∂2y/∂x2 + 12∂y/∂x =4y =0, given that y=1 & ∂y/∂x=0 when x=1 is ....?? ...
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Q102) |Z1| = 1 and |Z2 - 3 - 3i| = 1 , then minimum value of |Z1 - Z2| = ? a) 3√2 b) 3√2 – 1 c) 3√2 - 2 d) None of these. i'm getting answer (a) ,but is given (c). Q83) What is the locus of centre of a circle that tou ...
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distnce betn (5,1,3) and d line x=3 y=7+t z=1+t is ? inoe d answer post d method ...
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Altitude of the triangle of maximum area that can be inscribed in the curve [modulus of{z-2-2i}]=4 or (x-2)2 + (y-2)2 =4 is what? ...
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If\; f(x)=x^{101}+2x^{11}+2x+7\; and\; g(x)\; is\; the\; inverse\; of\; f(x),\; then\; g'(1)\; is?? ...
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*Image* ...
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What is the maximum number of rational points that can lie on a circle in R2 whose center is not a rational point? (A rational point is a point both of whose coordinates are rational numbers.) ...
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If logxy*logxyy*logx2yy =1/6 the express y as a real function of x and indicate the domain of definition . i have tried it and got x+xy+x2y=y6 now what next? ...
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*Image* Find the condition that the roots of the above equation r reciprocal of each other A)a-b=0 B)a=0 C)b=0 D)a+b=0 ...
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Plz giv me the rules for integration by the method of substitution. ...
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1) If \alpha , \beta , \gamma and \delta are the angles made by a line with the diagonals of a cube, then cos^2\alpha +cos^2\beta +cos^2\gamma +cos^2\delta is equal to : (a) 0 (b) 1 (c) 2/3 (d) 4/3 ...
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If f(x) and g(x) be two given functions with their domain as R ,then what can you say about h(x) ={ f(x)+f(-x)} {g(x)-g(-x)} ??? NOTE: {} DOES NOT represent fractional part R represents set of real numbers A.always an odd fun ...
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*Image* PLEASE SOLVE THIS 1 ...
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der is a chessboard of m/n dimension......calculate no of square,reactangles & rectangles wich r not squares...in the chess board ...
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ex is defined as e^x= \frac{x^0}{0!}+\frac{x^1}{1!}+\frac{x^2}{2!}+\frac{x^3}{3!}+.......... for x=0, e^0= \frac{0^0}{0!}+\frac{0^1}{1!}+\frac{0^2}{2!}+\frac{0^3}{3!}+.......... but we know that e0 is 1 So 1= \frac{0^0}{0!}+\ ...
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25. In a ΔABC, the sides a, b and c are such that they are the roots of the equation x3 – 11x2 + 38x – 40 = 0, THEN COSA\a +COSB\b + COS C|c = (A) 3\4 (B) 1 (C) 0 (D) 9\16 ...
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Pun in title intended :D This is easy, but good for starters: If f(x+a) = \frac{1+f(x)}{1-f(x)} , prove that f is periodic. ...
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a,b, c are real numbers such that (a+b-2c)^2 + (b+c-2a)^2 + (c+a-2b)^2 = (a-b)^2 + (b-c)^2 + (c-a)^2 Find a:b:c ...
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A (x1,y1) is an external pt. on the circle x2+y2=a2.a variable straight line is drawn through A cutting the circle at B n C.if P is a pt. on BC such that AB,AP,AC r in A.P.,then locus of p is??? ans.x(x-x1)+y(y-y1)=0 ...
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two circles touch the x-axis n the line y=mx.they intersect at(9,6) n at one more pt. n the product of their radii is 117/2.then the value of m is.... ans.2√2 ...
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If (1+3+5+...+p)+(1+3+5+..+q)=(1+3+5+..+r) where each set of parantheses contains the sum os consecutive odd integers as shown ,the smallest possible value of p+q+r,(where p>6) is ??? ...