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Which of the following statements is a t...

Which of the following statements is a tautology?

A

`(~p vv q(~(p vv ~q)`

B

`(~p vv ~q) to p vv q`

C

`(p vv ~ q) ^^ (p vv q)`

D

`(~ p vv ~q)vv (p vv q)`

Text Solution

Verified by Experts

The correct Answer is:
D
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-MOCK TEST 5-MCQS
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  2. The area Delta of a triangle ABC is given by Delta =a^2 -(b-c)^2 then...

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  3. Which of the following statements is a tautology?

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  4. The value of (cot54^(@))/(tan36^(@))+(tan20^(@))/(cot70^(@)) is

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  5. With 1,omega,omega^(2) as cube roots of unity, inverse of which of the...

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  6. The value of a for which a x^2+sin^(-1)(x^2-2x+2)+cos^(-1)(x^2-2x+2)=1...

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  7. Which of the following is logically equivalent to ~(~pto q)?

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  8. The matrices P[(u(1),v(1),w(1)),(u(2),v(2),w(2)),(u(3),v(3)w(3))] an...

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  9. If A1 and A2 are two A.M.s between a and b and G1 and G2 are two G.M.s...

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  10. The equation of the pair of lines passing through the origin and havin...

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  11. Q. the sum of the infinite series 1+2/3*1/2+2/3*5/6*1/2^2+2/3*5/6*8/9*...

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  12. Write the vectorthe vector equation of the line passing through (1, 2,...

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  13. if 2^x+2^y=2^(x+y) then the value of (dy)/(dx) at x=y=1

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  14. If f(x)=sin^(-1)(sinx)+cos^(-1)(sinx) and phi(x)=f(f(f(x))), then phi'...

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  15. If 5f(x)+3f(1/x)=x+2 and y=x f(x), then find dy/dx at x=1.

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  16. A variable straight line is drawn through the point of intersection of...

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  17. In what ratio, the line joining +(-1,1)a n d(5,7) is divided by the li...

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  18. If 0 lt a lt pi then int(dx)/(1-2acos2x+a^(2)) is equal to

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  19. int(cosec^2x-2005)/cos^[2005]x.dx

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  20. The degree of the differential equation satisfying the relation sqrt(1...

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