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Let a plane p passes through the point (...

Let a plane p passes through the point `(3,7,-7)` and contain the line , `(x-2)/-3=(y-3)/2=(z+2)/1`, or distance of the plane p from the origin is d then `d^2` is

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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
  1. For real numbers alpha and beta, consider the following system of line...

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

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

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  5. Let f(x)= |(sin^(2)x,-2+cos^(2)x,cos2x),(2+sin^(2)x,cos^(2)x,cos2x),(s...

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

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

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

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  9. If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equ...

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

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

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

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

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

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  15. If int (0) ^(pi) ( sin ^(3) x) e^(- sin^(2)x)dx = alpha - (beta)/( e)...

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  16. Find number of real roots of equation e^(4x) + e^(3x) - 4e^(2x) + e^(x...

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  17. Let y = y (x) be the solution of the differential equation dy = e^(a...

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  18. Let n be a non - negative integer . Then the number of divisors of the...

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  19. Let A = { n in N | n^(2) le n + 10,000 } B = { 3k + 1 | k in N } and ...

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  20. If A = [(1,1,1),(0,1,1),(0,0,1)] and M = A + A^(2) + A^(3) + . . . . ...

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