If f(x) and g(x) are twice differentiabl...

If `f(x) and g(x)` are twice differentiable functions on (0,3) satisfying `f''(x)=g''(x), f'91)=4,g' (1)=6 f(2)=3g (2),=9` then f(1)-g(1) is

`-4`

`-2`

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If f(x) and g(x) are twice differentiable functions on (0, 3) satisfying f''(x)=g''(x), f'(1)=4,g'(1)=6,f(2)=3,g(2)=9," then "f(1)-g(1) is -

If f(x) and g(x) are twice differentiable functions on (0,3) satisfying f"(x) = g"(x), f'(1) = 4, g'(1)=6,f(2)=3, g(2) = 9, then f(1)-g(1) is

If f(x), g(x) be twice differentiable functions on [0,2] satisfying f''(x) = g''(x) , f'(1) = 2g'(1) = 4 and f(2) = 3 g(2) = 9 , then f(x)-g(x) at x = 4 equals (A) 0 (B) 10 (C) 8 (D) 2

f(x) and g(x) are two differentiable functions on [0, 2] such that f''(x)-g''(x)=0, f'(1)=2, g'(1)=4, f(2)=3 and g(2)=9 , then [f(x)-g(x)] at x=(3)/(2) is equal to -

If f and g are differentiable functions in [0, 1] satisfying f(0)=2=g(1),g(0)=0" and "f(1)=6 , then for some c in [0,1] -

If f(x) and g(x) are differentiable functions for 0lexle1 such that f(0)=2,g(0)=0,f(1)=6,g(1)=2, then in the interval (0,1)

If f is a twice differentiable function such that f''(x)=-f(x),f'(x)=g(x) ,h(x)=[f(x)]^2+[g(x)]^2 if h(5)=11, then h(10) equals

If f(x) and g(x) are differentiable function for 0lexle1 such that f(0)=2,g(0)=0,f(1)=6,g(1)=2 , then show that these exist c satisfying 0ltclt1andf'(c)=2g'(c)

If f(x)a n dg(x) are differentiable functions for 0lt=xlt=1 such that f(0)=10 ,g(0)=2,f(1)=2,g(1)=4, then in the interval (0,1)dot (a) f^(prime)(x)=0 for a l lx (b) f^(prime)(x)+4g^(prime)(x)=0 for at least one x (c) f(x)=2g'(x) for at most one x (d) none of these

Let f be a twice differentiable function such that f"(x) = -f(x) , and f'(x) = g(x) , h(x)=[f(x)]^2+[g(x)]^2 Find h(10), if h(5) = 11

WB JEE PREVIOUS YEAR PAPER-QUESTION PAPER 2012-MULTIPLE CHOICE QUESTIONS

The coefficient of x^(10) in the expansion of 1+(1+x)+...+(1+x)^(20) i...
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A straight line through the point of intersection of the lines x+2y+4=...
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Let P and Q be the points on the parabola y^(2)=4x so that the lines ...
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The incentre of an equilateral triangle is (1,1) and the equation of o...
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The value of lim(x to oo) ((n!)^((1)/(n)))/(n) is
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The area of the region bounded by the curves y=x^(3), y=(1)/(x),x=2 is
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Let y be the solution of the differential equation x(dy)/(dx)=(y^(2))/...
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The value of the integral int(1)^(5)[|x-3|+|1-x|]dx is equal to
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If f(x) and g(x) are twice differentiable functions on (0,3) satisfyin...
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Let [x] denote the greates integer less than or equal to x, then the v...
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The points representing the complex number z for which arg ((z-2)/(z+2...
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Let a,b,c,p,q,r be positive real numbers such that a,b,c are in G.P an...
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Let S(k) be the sum of an infinite G.P series whose first is k and com...
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The quadratic equation 2x^(2)-(a^(3)+8a-1)x+a^(2)-4a=0 possesses roots...
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If log(e)(x^(2)-16) le log(e)(4x-11), then
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