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|{:(,"List-I",,"List-II"),((P),Na^(+)gt ...

`|{:(,"List-I",,"List-II"),((P),Na^(+)gt K^(+)gt Rb^(+),(1),"Ionic mobility in aqueous solvent"),((Q),B lt C lt N lt O,(2),"Electronegativity of respective atom"),((R ),Mg^(2+)lt Li^(+)lt K^(+)lt Cs^(+),(3),"Hydration energy"),((S),N_(2)O_(5)gtCO_(2)gtB_(2)O_(3),(4),"Acidic nature"):}|`
Code :

A

`(sec^(2)theta+co s ec^(2)theta)/(sec^(2)theta.c os ec^(2)theta)`,(wherever defined)

B

`(cot^(2)18^(@)-cvos^(2)18^(@))/(cost^(2)18^(@)cot^(2)18^(@))`

C

`sec 0+sec((pi)/(5))+sec((2pi)/(5))+sec((3pi)/(5))+sec((4pi)/(5))`

D

`2log6^(3).3^(log6^(3))^(-1)`

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A, B, C, D
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Four charges Q_(1), Q_(2), Q_(3) and Q_(4) oof same magnitude are fixed along the x axis at x=-2a, -a, +a and +2a , respectively. A positive charge q is placed on the positive y axis at a distance b gt 0 . Four options of the signs of these charges are given in List I. The direction of the forces on the charge q is given in List II. Match List I with List II and select the correct answer using the code given below the lists. {:(,"List-I",,,"List-II"),((P),Q_(1)","Q_(2)","Q_(3)","Q_(4) "all positive",,(1),+x),((Q),Q_(1)","Q_(2) " positive, "Q_(3)","Q_(4)" negative",,(2),-x),((R),Q_(1)","Q_(4)" positive ,"Q_(2)","Q_(3)" negative",,(3),+y),((S),Q_(1)","Q_(3)" positive , "Q_(2)","Q_(4)" negative",,(4),-y):}

Two parallel metallic plates have surface charge densities sigma_(1) and sigma_(2) as shown in figure. {:(,"Column-I",,,"Column-II"),((A),"If " sigma_(1)+sigma_(2)=0,,(p),"Electric field in region III is towards right"),((B),"If" sigma_(1)+sigma_(2) gt 0,,(q),"Electric field in region I is zero"),((C),"If "sigma_(1)+sigma_(2) lt 0,,(r),"Electric field in region I is towards roght"),(,,,(s),"Nothing can be said"):}

An aqueous solution of X is added slowly to an aqueous solution of Y as shown in List-I. The variation in conductivity of these reactions is given in List-II. Match List-I with List-II and select the correct answer using the code given below the lists: {:(List-I,List-II),((P)(C_(2)H_(5))_(3)N +CH_(3)COOH,(1)"Conductivity decreases adn then increases"),(" X Y",),((Q)KI(0.1M)+AgNO_(3)(0.01M),(2)"Conductivity decreases and then does not change much"),(" X Y",),((R)CH_(3)COOH+KOH,(3)"Conductivity increases and then does not change much"),(" X Y",),((S)NaOH+Hi,(4)"Conductivity does not change much and then increases"),(" X Y",):} Codes:

In the V-T graph shown in figure: {:(,"Column-I",,"Column-II"),((A),"Gas" A is ... and gas B is... ", E is ",(p),"monoatomic , diatomic"),((B),"P_(A)/P_(B) is ",(q),"diatomic , monoatomic"),((C),"n_(A)/n_(B) is " " ",(r),"gt1"),(,,(s),"lt1"),(,,(t),"cannot say any thing"):}

Statement I In a Delta ABC, if a lt b lt c and ri si inradius and r_(1), r_(2) ,r_(3) are the exradii opposite to angle A,B,C respectively, then r lt r_(1) lt r_(2) lt r_(3). Statement II For, DeltaABC r_(1)r_(2)+r_(2)r_(3)+r_(3)r_(1)=(r_(1)r_(2)r_(3))/(r)

A : Three capacitors having C_(1) lt C_(2) lt C_(3) are connected in parallel its effective capacitance will be C_(p) gt C_(3) . R : (1)/(C_(P))=(1)/(C_(1))+(1)/(C_(2))+(1)/(C_(3))

2 (x-1) lt x + 5, 3 (x+2) gt 2-x

Examine the following plots and predict whether in (i) P_(1) lt P_(2) "and" T_(1) gt T_(2) , in (ii) T_(1) = T_(2)ltT_(3) , in (iii) V_(1) gt V_(2), "in" (iv) P_(1) gt P_(2) "or" P_(2) gt P_(1)

ALLEN -TEST PAPER-MATHS
  1. |{:(,"List-I(Atom/Ions)",,"List-II(Electron Affinity in eV/atom and co...

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  2. |{:(,"List-I(Orbitals)",,"List-II"),(,"(Approach axis is z-axis)",,"(T...

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  3. |{:(,"List-I",,"List-II"),((P),Na^(+)gt K^(+)gt Rb^(+),(1),"Ionic mobi...

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  4. If p, q, r are prime numbers such that p^(2)-q^(2)=r then which of the...

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  5. ABCD is a square and E is mid point of AD. If area of square is given ...

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  6. If x=7+sqrt(48) then which of the following quantities is rational ?

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  7. If x(1) and x(2) are the two values of x satisfying equation 3^((log(3...

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  8. If x^(3)+y^(3)+3xy=1 where x and y are to distinct real numbers then w...

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  9. Which of the following values of a and b will make a(sin^(6)theta+cos^...

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  10. Which of the following expression gives rational values ?

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  11. The equation has

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  12. A circumcircle is a circle which passes through all vertices of a tria...

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  13. A circumcircle is a circle which passes through all vertices of a tria...

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  14. If sec theta+tan theta=(1)/(2) The value of sec theta=

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  15. If sec theta+tan theta=(1)/(2) The value of tan theta =

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  16. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  17. If alpha and beta are roots of equation (log(3)x)^(2)-4(log(3)x)+2=0 t...

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  18. Let f(x)=Sigma(i=1)^(n) (x-xi)^2, where xi are real coefficients , the...

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  19. If r lt s lt p are in arithmetic progression, then both roots of the q...

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  20. Let alpha and beta be the roots of the equation x^2+(2-costheta)x-(1+c...

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