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Let a and b be two positive integers such that a=p3q4 and b=p2q3, where p and q are prime numbers. If H.C.F a, b=pmqn and L.C.Ma, b=prqs, then m+nr+s

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Important Questions on Sample Paper 1

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10th Uttar Pradesh Board
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Let p be a prime number. The quadratic equation having its roots as factors of p is 
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10th Uttar Pradesh Board
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If α,β are the zeroes of the polynomial f(x)=px2-2x+3p and α+β=αβ, then p is.
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If the system of equations 3x+y=1 and (2k-1)x+(k-1)y=2k+1 is inconsistent, then k=
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If the vertices of a parallelogram PQRS taken in order are P(3,4), Q(-2,3) and R(-3,-2) then the coordinates of its fourth vertex S are
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ABC~PQR. If AM and PN are altitudes of ABC and PQR respectively and AB2:PQ2= 4:9, then AM:PN=
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10th Uttar Pradesh Board
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If x tan 60° cos 60°=sin 60° cot 60°, then x=
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10th Uttar Pradesh Board
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If sinθ+cosθ=2 then, the value of tanθ+cotθ is
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In the given figure,DEBCAE=a units, EC=b units, DE=x units and BC=y units. Which of the following is true? 

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