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The number of wards can be formed with t...

The number of wards can be formed with the letters of the word PATALIPUTRA without changing the relative positions of vowels and consonants is

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NTA MOCK TESTS-NTA TPC JEE MAIN TEST 60-MATHEMATICS
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  2. int(e^(x)(x-2))/(x(x^(2)+e^(x)))dx AA x gt0 is equal to (c is the cons...

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  3. Find the negation of th statement No square of real number is less tha...

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  4. If the median and the range of four numbers {x,y,2x+y,x-y}, there 0lty...

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  5. If two vertical poles 20m and 80m high stand apart on a horizontal pla...

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  6. The value of tan^(-1)(9/19)+tan^(-1)(9/49)+tan^(-1)(9/97)+tan^(-1)(9/1...

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  7. ("cot"^(2)(pi)/6+"cosec"(5pi)/6+3"tan"^(2)(7pi)/6)/(2"cos"^(2)(pi)/3+"...

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  8. If 0 le x le pi and 16^(sin^(2)x+16^(cos^(2)x)=10, then number of solu...

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  9. If the number of points of discontinuity and number of points of non d...

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  10. A dice is constructed such that probability of occurrence of a number ...

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  11. If P is the coefficient of x^(8) in the expansion of (1+x+x^(2)+x^(3)+...

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  12. If the matrix ((a,2/3,2/3),(2/3,1/3,b),(c,x,y)) is an orthogonal matri...

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  13. The number of wards can be formed with the letters of the word PATALIP...

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  14. If the roots of 7x^(2)-15x+alpha=0 are rational numbers, then the numb...

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  15. Let C(1):4(x-4)^(2)+25y^(2)-100=0 and C(2):4(x+1)^(2)+y^(2)-4=0 be con...

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  16. Find the number of common tangents to the circles x^(2)+y^(2)-4x-6y-12...

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  17. Let O be any point inside a tetrahedron ABCD. The line joining O to t...

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  18. If [.] represents the greatest integer function where f(x)=cos[pi^(2...

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  19. If int(0)^(oo)(sinx)/x dx=A and F(t)=int(0)^(oo)(1-cos(tx))/(x^(2))dx,...

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  20. let f(x)=sum(k=0)^(8)A(k)x^(k). If f(x)+f(omega x)+f(omega^(2)x), wher...

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