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Let f(x)=4x^2-4ax+a^2-2a+2 be a quadrati...

Let f(x)=4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x, a be any real number, If `x-` coordinate of vertex of parabola `y=f(x)` is less than 0 and `f(x)` has minimum value 3 for `x in [0,2],` then value of `a` is `(a) 1+sqrt(2)` (b) `1-sqrt(2)` `(c) 1-sqrt(3)` (d) `1+sqrt(3)`

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RESONANCE DPP-JEE MAINS-All Questions
  1. The logically equivalent proposition of phArrq is (p^^q)vv(p^^q) b. (p...

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  2. If in triangle A B C ,A-=(1,10), circumcentre -=(-1/3,2/3) and orthoce...

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  3. Let f(x)=4x^2-4ax+a^2-2a+2 be a quadratic polynomial in x, a be any re...

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  4. Which of the following determinants(s) vanish(es)? |4 1 2 10 2 5 3 4 3...

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  5. If vec a , vec ba n d vec c are non-coplanar vectors, prove that the ...

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  6. If a ,b ,c are sides of a scalene triangle, then value of |a b c b c ...

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  7. Set of all values of x satisfying in inequation cos^(-1)sqrt(x)>si...

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  8. If y=a x^2+b x+c represents the curve given in the figure and b^2=2(b+...

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  9. Which of the following function(s) defined below are continuous at the...

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  10. Given two circle x^2+y^2-6x-2y+5=0&x^2+y^2+6x+22 y+5=0 . The tangent a...

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  11. Find the domain of the following function: f(x)=1/([|x-1|]+[|12-x|]-11...

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  12. The sides of a rhombus are parallel to y=2x+3a n d2y=x+5 . The diagona...

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  13. The function f(x)=(tan^(-1)x)^3-(cot^(-1)x)^2+tan^(-1)x+2 is (a)decr...

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  14. If the lines joining the points of intersection of the curve 4x^2+9y+1...

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  15. If |1 1 1a b c a^3b^3c^3|=(a-b)(b-c)(c-a)(a+b+c), then the solution o...

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  16. The equation of the circle of radius 5 in the first quadrant which ...

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  17. If P=cospi/(20)dotcos(3pi)/(20)dotcos(7pi)/(20)dotcos(9pi)/(20)&Q=cosp...

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  18. If alpha,alpha^2) falls inside the angle made by the lines 2y=x ,x >0&...

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  19.   (2sec theta+3 tan theta+5 sin theta -7cos theta+5)/(2tan theta+3 s...

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  20. If A and B are symmetric matrices then A B-B A is a Symmetric Matrix ...

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