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let f(x) = xk , k belongs to R. the value of K so that f is differentiable (n-1) times at x=0, but not differentiable n-times at x=0 is: a) n b) n-1 c) (3n-2)/3 d) n.o.t. tukka mari thi.. lag gaya tha.. par sahi method se koi ...
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If P (x) is a polynomial of least degree that has a maximum equal to 6 at x = 1 , and a minimum equal to 2 at x = 3 , then01∫ P(x) dx equals 1. 17/4 2. 13/4 3. 19/4 4. 5/4 A point 'P' moves in xy plane in such a way that [| ...
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S=r=1Σ20471/r options a)5<S<6 b)S>6 c)11<S<12 d)S<11 answer with proof if its not in syllabus then tell ...
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*Image* A regular five pointed star is inscribed in a circle of radius r Find the area inside the star. ...
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If the lines a1x+b1y+c1=0; a2x+b2y+c2=0 cut the coordinate axes in concylic pts , then give the relation between a1,a2,b1,b2 I think this qn shud be done in 2mins but i cant do it ,still i cant get ne desired results. pls pos ...
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In an examination of 6 papaers each of 100 marks as max. marks PT the no. of ways in which a candidate can secure 40% marks in whole examination is *Image* ...
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Let a be a complex number, ia3+a2-a+i = 0 then find maximum value of |a-3-4i| ...
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check these ques out from t 26 Q8) Find the eqn. of the line which is at distance 5 from origin it makes an angle of 120o with +ve x-axis. a) x+√3y-10=0 b) √3x+y-10=0 c) √3x+y-5=0 d) √3x-y-10=0 Q2) The two points of a ...
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The tangent at a point P(x, y) on a curve meets the axes at P1 and P2 such that P divides P1P2 internally in the ratio 2 : 1. The equation of the curve is 1. xy = c 2. x2y = c 3. xy2 = c 4. none of these ...
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*Image* ...
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A circle of variable radius is given by x2+y2+2gx+2fy+c=0 cuts the rectangular hyperbola x2-y2 = 9a2 in points P, Q, R and S at (xiyi) (i = 1,2,3,4) find centroid of triangle PQR ! ...
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0∫π/2 (2 logsinx- log sin2x).dx ...
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Lt { ex+(2e)x+(3e)x+...+(ne)x}n/x x→0-------------------------------------- {n}n/x a) n! b) n!en c)n+logen! d)en ...
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*Image* ...
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If x, y, z ε R satisfies the sstem of equations x+[y]+{z}=12.7 [x]+{y}+z=4.1 {x}+y+[z]=2........{}-fractional &[]-greatest integer fn. COLUMN 1 COLUMN 2 A) {x}+{y} p) 7.7 B) [z]+[x] q) 1.1 C) x + {z} r) 1 D) z+[y]-{x} s) 3 ...
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*Image* ...
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1. f(x)=sin(x) + -π/2∫π/2((sinx+tcosx)f(t)) dt 2. 1/2∫2 sin(x-1/x) dx x ...
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Let a=33n where n ε N.If exponent n is chosen at random,find the probabality that units digit of a is 9 ...
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A fair dice is rolled 2n+1 times.Find probablity that faces with even number appear odd no. of times. ...
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stat1 : the eqn √x + √y =1 represents a part of the parabola. stat2 : the curve √x + √y =1 lie in the first quadrant only. ...
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stat1 : if eccentricities of two ellipses are same then their areas are also same. stat2 : (a2 - b2)/a2 = (a'2 - b'2)/a'2 ...
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graph of x{y}=y{x} is..................x(y-I1)=y(x-I2) xy-xI1=xy-yI2 ...........(by opening the brackets) -xI1=-yI2 ..................(by applying higher level mathematics) xI1=yI2 ....................(by using the concept of ...
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How many integers are in the domain f(x) = ln(3Ï€x-x2-2Ï€2-sinx) A)4 B)3 C)5 D)2 ...
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*Image* ...
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g(x)=0∫x f(t)dt ,g"(x) is continuous and differentiable. a<c<b g"(a)=0;g"(b)=0;g"(c)=0 Also g'(a)=0 ,g'(b)<0 Q1. g"'(x) has in [a,b] exactly A)2 real roots B)1 real root C)no real root D)3 real roots Q2.f(x) has in ...
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have a look at these ques from part test1 In which of the following following, Can Rolle's theorem be applied? (All values are in radians unless specified) a) y= log x in the interval [1,5] b) y=tan x in the interval [3,4] c) ...
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1) Evaluate limx->infinity cosx/x or explain why it doesnt exist? 2) Evaluate lim t->4 (t- 3t+4 )/t-4 or explain why it doesnt exist? 3) Evaluate lim x->1 x-1 / x-1 or explain why it doesnt exist? 4) Let f(x)= sinx/x ...
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Match the following Consider the linear equations. ax+by+cz=0 bx+cy+az=0 cx+ay+bz=0 (A) a+b+c≠0 and a2+b2+c2=ab+bc+ca (B) a+b+c=0 and a2+b2+c2≠ab+bc+ca (C) a+b+c≠0 and a2+b2+c2≠ab+bc+ca (D) a+b+c=0 and a2+b2+c2=ab+bc+ ...
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6 dices are tossed simulataneously.how many times does exactly 3 dices show 5 or 6?? ...
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two integers are choosen at random and multiplied. the probability that the product is an even integer is ?????????????? ...