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If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of `a^4 +b^4 +c^4 ` is equal to _____

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
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  2. Let a curve y = f(x) pass through the point (2, (loge 2)^2) and have...

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  3. If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4...

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  4. A coin is tossed n times, if the probability of getting at least one h...

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  5. If the coefficients of x^(7) and x^(8) in the expansion of (2+(x)/(3))...

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  6. If the lines (x-k)/(1) = (y-2)/(2) = (z-3)/(3) and (x+1)/(3) = (y ...

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  7. For real numbers alpha and beta, consider the following system of line...

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  8. Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(...

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  9. If (log)3 2,(log)3(2^x-5)a n d(log)3(2^x-7/2) are in arithmetic progre...

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  10. Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]

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  12. Let F:[3,5] rarr R be a twice differentiable function on (3,5) such th...

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  13. Let a plane p passes through the point (3,7,-7) and contain the line ,...

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  14. Let S= {1,2,3,4 5,6, 7}. Then the number of possible functions f: S ra...

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  16. Let f: [0,3] rarr R be defined by f(x)= "min" {x-[x], 1+[x]-x} where [...

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  17. Let vec(a) = hat(i) - alpha hat(j) + beta hat(k) , vec(b) = 3 hat(i) ...

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  18. Find the distance of the point P3,\ 4,\ 4) from the point where the li...

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  19. If the real part of the complex number z = ( 3 + 2 i cos theta)/( 1 -...

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  20. Let E be an ellipse whose axes are parallel to the co-ordinates axes, ...

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