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For x in R the number of real roots of t...

For `x in R` the number of real roots of the equation
`3x^2-4abs(x^2-1)+x-1=0` is ______

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JEE ADVANCED PREVIOUS YEAR-JEE ADVANCED 2021-QUESTION
  1. For any positive integer n . let Sn:(0,oo) to R be defined by Sn(x)=s...

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  2. For any complex number w=c+id let arg(w) in (-pi,pi] , where i =sqrt(-...

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  3. For x in R the number of real roots of the equation 3x^2-4abs(x^2-1)+...

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  4. In a triangle ABC, let AB=sqrt23, BC=4 and CA =5 . Then the value of (...

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  5. Let vecu , vecv and vecw be vectors in three-dimensional space, where ...

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  6. Let s1 = {(i,j, k) ∶ i,j, k ∈ {1,2, … ,10}} ,s2 = {(i,j) ∶ 1 ≤ i < j +...

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  7. Consider a triangle PQR having sides of lengths p,q,r opposite to the ...

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  8. Let f:[-pi/2,pi/2] to R be a continuous function such that f(0)=1 and ...

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  9. For any real number alpha and beta , let y(alpha,beta)(x): alpha,beta ...

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  10. Let O be the origin and vec(OA)=2hati+2hatj+hatk , vec(OB)=hati-2hatj+...

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  11. Let E denote the parabola y^2 = 8x. Let P = (-2,4), and let Q and Q' b...

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  12. Consider the region R = {(x, y) in R xx R : x ge 0 and y^2 le (4 − x)}...

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  13. Consider the region R = {(x, y) in R xx R : x ge 0 and y^2 le (4 − x)}...

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  14. Let f1 : (0, oo) to R and f2 : (0, oo) to R be defined by f1(x) = int0...

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  15. Let f1 : (0, oo) to R and f2 : (0, oo) to R be defined by f1(x) = int0...

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  16. Let gi:[pi/8,(3pi)/8] to R , i=1,2 , and f:[pi/8,(3pi)/8] to R be func...

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  17. Let gi:[pi/8,(3pi)/8] to R , i=1,2 , and f:[pi/8,(3pi)/8] to R be func...

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  20. Let psi1:[0,oo] to R , psi2:[0,oo) to R , f:[0,oo) to R and g :[0,oo) ...

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