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JEE MAINS PREVIOUS YEAR-JEE MAINS 2020-MATHEMATICS
- Let S be the set of all integer solutions, (x,y,z) of the system of eq...
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- Let a place P contain two lines vecr = hati + lambda(hati + hatj), ...
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- m A.M. and 3 G.M. are inserted between 3 and 243 such that 2^(nd) GM=4...
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- If the tangent to the curve y= e^x at a point (c, e^c) and the normal ...
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- The total number of 3-digit numbers, whose sum of digits is 10, is .
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- If (a+sqrt2b cosx)(a-sqrt2b cosy)=a^2-b^2, where a gt b gt 0 , then ...
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- The mean and variance of 8 observations are 10 and 13.5 respectively ....
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- 1+(1-1.2^2)+(1-3.4^2)+(1-5.6^2)+.....(1-19.20^2) = alpha-220beta fi...
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- A survey shows that 63% of the people watch a news channal whereas ...
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- The following statement (pvecq)vec[(~ pvecq)vecq] is: equivalent t...
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- If two vertical pale AB and CD of height 15 m and 10 m and A and C are...
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- If f is twice differentiable function for x in R such that f(2)=5,f'(2...
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- sum(r=0)^(20).^(50-r)C6
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- If A=[{:(Costheta ,isintheta),("isintheta,costheta):}],(theta=pi/24)an...
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- If alpha and beta are roots of x^2-3x+p=0 and gamma and delta are the ...
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- Let x^2/a^2+y^2/b^2=1(agtb) be a given ellipse, length of whose latus...
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- A triangle ABC laying in the first quadrant has two vertices as A(1 , ...
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- If from point P(3,3) on the hyperbola a normal is drawn which cuts x-a...
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- The integral int((X)/(xsinx + cosx))^2dx is equal to (where C is a c...
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- Let f(x) =intsqrtx/((1+x)^2)dx(xge0) . The f(3) - f(1) is equal to :
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