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JEE MAINS PREVIOUS YEAR-JEE MAINS 2021-MATHEMATICS (SECTION-B)
- Let a curve y = f(x) pass through the point (2, (loge 2)^2) and have...
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- If a + b + c = 1, ab + bc + ca = 2 and abc = 3, then the value of a^4...
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- A coin is tossed n times, if the probability of getting at least one h...
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- If the coefficients of x^(7) and x^(8) in the expansion of (2+(x)/(3))...
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- If the lines (x-k)/(1) = (y-2)/(2) = (z-3)/(3) and (x+1)/(3) = (y ...
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- For real numbers alpha and beta, consider the following system of line...
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- Let vec(a) = hat(i) + hat(j) + hat(k), vec(b) and vec(c )= hat(j)-hat(...
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- 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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- Find the domain of function f(x)=(log)4[(log)5{(log)3(18 x-x^2-77}]
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- Let f(x)= |(sin^(2)x,-2+cos^(2)x,cos2x),(2+sin^(2)x,cos^(2)x,cos2x),(s...
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- Let F:[3,5] rarr R be a twice differentiable function on (3,5) such th...
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- Let a plane p passes through the point (3,7,-7) and contain the line ,...
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- Let S= {1,2,3,4 5,6, 7}. Then the number of possible functions f: S ra...
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- If y= y(x), y in [0, (pi)/(2)) is the solution of the differential equ...
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- Let f: [0,3] rarr R be defined by f(x)= "min" {x-[x], 1+[x]-x} where [...
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- Let vec(a) = hat(i) - alpha hat(j) + beta hat(k) , vec(b) = 3 hat(i) ...
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- Find the distance of the point P3,\ 4,\ 4) from the point where the li...
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- If the real part of the complex number z = ( 3 + 2 i cos theta)/( 1 -...
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- Let E be an ellipse whose axes are parallel to the co-ordinates axes, ...
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- If int (0) ^(pi) ( sin ^(3) x) e^(- sin^(2)x)dx = alpha - (beta)/( e)...
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