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JEE MAINS PREVIOUS YEAR-JEE MAIN 2023-Question
- Let S=109+108/5+107/5^2+. . .+2/(5^107)+1/(5^108). Then the value of (...
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- Let Hn:x^2/(1+n)-y^2/(3+n)=1, n in NN.Let k be the smallest even value...
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- The number of inegral terms in the expansion of (3^(1/2)+5^(1/4))^680 ...
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- The number of ordered triplets of the truth values of p, q and r such ...
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- The mean of the coefficients of x, x^2 . . . x^7 in the binomial expan...
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- If a and b are the roots of the equation x^2-7x-1=0, then the value of...
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- Let A=[(0,1,2),(a,0,3),(1,c,0)], where a, c in RR. If A^3=A and the po...
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- Let a line l pass through the origin and be perpendicular to the lines...
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- In an examination, 5 students have been allotted their seats as per th...
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- For m , n gt 0, let alpha(m,n)=int0^2 t^m(1+3t)^n dt. If 11 alpha(10,6...
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- If the point (a,(7sqrt3)/3) lies on the curve traced by the mid -point...
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- The number of five digit number , greater than 40000 and divisible by ...
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- Let C be the circle in the complex plane with center z(0)=(1)/(2)(91+3...
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- Let lambda in ZZ,veca=lambdahati+hatj-hatk and vecb=3hati-hatj+2hatk. ...
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- If the local maximum value of the function f(x)=((sqrt3e)/(2sinx))^(si...
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- Let an be a sequence such that a1+a2+.....+an= (n^2+3n)/((n+1)(n+2)) I...
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- Let P((2sqrt3)/(sqrt7),6/(sqrt7)),Q,R,and S be four points on the elli...
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- Let D be the domain of the function f(x)=sin^(-1)(log(3x)((6+2log3x)/(...
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- Let the plane P: 4x-y+=10 be rotated by an angle pi/2 about its line o...
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- The sum ,of the coefficients of the first 50terms in the binomial of (...
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