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The number of elements in the set {A =...

The number of elements in the set
`{A = ((a, b),(0, d)): a, b, d in {-1, 0, 1) " and " (I - A)^(3) = I - A^(3)}`, where I is `2 xx 2` identity matrix, is ___________.

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-Mathematics Section B
  1. Let the points of intersections of the lines x -y +1 = 0, x -2y + 3 = ...

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  2. If the sum of the coefficients in the expansion of (a+b)^n is 4096, th...

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  3. Let X be a random variable with distribution. If the mean of X is...

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  4. Let [t] d enote the greatest integer lt t. The number of points where ...

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  5. All the arrangements, with or without meaning, of the word FARMER are ...

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  6. If for the complex numbers z satisfying abs(z - 2 -2i) lt 1, the maxim...

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  7. Let vec a = 2hati - hatj + 2hatk and vecb = hati + 2hatj - hatk. Let a...

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  8. Let f(x) = x^6 + 2x^4 + x^3 + 2x + 3, x in R. Then the n natural numbe...

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  9. Let f(x) be a polynomial of degree 3 such that f(k) = - 2/k" for " k...

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  10. A man starts walking from the point P( -3, 4), touches the x-axis at R...

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  11. If the line y = mx bisects the area enclosed by the lines x = 0, y = 0...

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  12. The number of 4-digit numbers which are neither multiple of 7 nor mult...

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  13. If S = (7)/(5) + (9)/(5^(2)) + (13)/(5^(3)) + (19)/(5^(4)) + …., then ...

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  14. A tangent line L is drawn at the point (2, -4) on the parabola y^(2) =...

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  15. Let f(x) be a cubic polynomial with f(1) = -10, f(-1) = 6, and has a l...

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  16. Suppose the line (x-2)/(alpha) = (y-2)/(-5) = (z+2)/(2) lies on the pl...

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  17. If int(sin x)/(sin^(3)x + cos^(3)x) dx = alpha log(e)|1 + tan x| + bet...

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  18. The number of elements in the set {A = ((a, b),(0, d)): a, b, d in {...

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  19. Let B the centre of the circle x^(2) + y^(2) - 2x + 4y + 1 = 0. Let th...

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  20. If the coefficient of a^(7)b^(8) in the expansion of (a + 2b + 4ab)^(1...

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