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If f(x) is a decreasing funcion, then th...

If `f(x)` is a decreasing funcion, then the set of values of 'k', for which the major axis of the ellipse `(x^(2))/f(k^(2)+2k+5)+(y^(2))/f(k+11)=1` is the X-axis, is

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Consider the ellipse (x^2)/(f(k^2+2k+5))+(y^2)/(f(k+11))=1. If f(x) is a positive decr4easing function, then the set of values of k for which the major axis is the x-axis is (-3,2)dot the set of values of k for which the major axis is the y-axis is (-oo,2)dot the set of values of k for which the major axis is the y-axis is (-oo,-3)uu(2,oo) the set of values of k for which the major axis is the y-axis is (-3,-oo,)

If x=2,y=1 is a solution 3x+2y=k, find the value of k.

The number of real values of k for which the lines (x)/(1)=(y-1)/(k)=(z)/(-1) and (x-k)/(2k)=(y-k)/(3k-1)=(z-2)/(k) are coplanar, is

If f(x)= {(1,-,kx, x,le3),(2x,+,3,x,>3):} is a continuous function, then the value of k is

If x=2k-1 and y=k is a solution of the 3x-5y-9=0 find the value of k.

If x=1,y-2 is a solution of 2x+3y=k, find the value of k.

Find the values of k for which the line (k-3) x -(4 - k^2)y + k^2 -7k + 6 = 0 is Parallel to the x-axis.

Find the values of k for which the line (k-3) x -(4 - k^2)y + k^2 -7k + 6 = 0 is Parallel to the y-axis.

Find the value of k, if x=2,y=1 is a solution of the equation 2x+3y=k.

ARIHANT MATHS-MONOTONICITY MAXIMA AND MINIMA-Exercise (Questions Asked In Previous 13 Years Exam)
  1. If f(x) is a decreasing funcion, then the set of values of 'k', for wh...

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  2. The least value of alpha in R for which 4ax^2+(1)/(x)ge1, for all xgt ...

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  3. The number of points in (-oo,oo), for which x^2-xsinx-cosx=0, is

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  4. Let f : R ->(0,oo) and g : R -> R be twice differentiable functions...

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  5. Let f:(0,oo) to vec R be given by f(x)=int(1/x)^x(e^(-(t+1/t))dt)/t , ...

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  6. The fuction f(x)=2|x|+|x+2|-||x+2|-2|x|| has a local minimum or a loca...

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  7. A rectangular sheet of fixed perimeter with sides having their lengths...

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  8. A vertical line passing through the point (h,0) intersects th ellipse ...

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  9. Let f,g and h be real-valued functions defined on the interval [0,1] b...

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  10. The total number of local maxima and local minima of the function f(x)...

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  11. If the function g:(-oo,oo)->(-pi/2,pi/2) is given by g(u)=2tan^-1(e^u)...

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  12. The second degree polynomial f(x), satisfying f(0)=o, f(1)=1,f'(x)gt...

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  13. If f(x)=x^3+bx^2+cx+d and 0<b^2<c, then

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  14. If f(x)=x^2+2b x+2c^2 and g(x)= -x^2-2c x+b^2 are such that min f(x...

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  15. The length of the longest interval in which the function 3sinx-4sin^3x...

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  16. If f(x)=e^(1-x) then f(x) is

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  17. The maximum value of (cosalpha(1))(cos alpha(2))...(cosalpha(n)), un...

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  18. If f(x) = {{:(e ^(x),,"," 0 le x lt 1 ,, ""), (2- e^(x - 1),,"," 1 lt ...

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  19. If f(x) is a cubic polynomil which has local maximum at x=-1 . If f(2)...

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  20. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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  21. Consider the function f:(-oo, oo) -> (-oo ,oo) defined by f(x) =(x^2...

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