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If f(x) ={(lambdasqrt(2x+3),0 lex le3),(...

If `f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):}` is differentiable at `x = 3`, then the value of `lambda + mu` is equal to

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The functin 'f' defined by: f(x) = {(x^(2)" ," 0 le x le 3),(3x ", " 3 le x le 10):} The relation 'g' is defined by g(x) = {(x^(2)"," 0 le x le 2),(3x " ," 2 le x le 10):} Show that 'f' is a function and 'g' is not a function

The relation 'f' is defined by: f(x) = {(x^(2)","0 le x le 3),(3x" ,"3 le x le 10):} . The relation g is defined by g(x) = {(x^(2)"," 0 le x le 2),(3x"," 2 le x le 10):} Show that f is a function and g is not a function.

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NTA MOCK TESTS-JEE MOCK TEST 17-MATHEMATICS
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  2. If A^2 = A, then (I + A)^(4) is equal to

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  3. The mean and variance of a data set comprising 15 observations are 15 ...

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  4. If A = {x : x = 6^n - 5n - 1, n in N} and B = {x : x = 25(n - 1), n in...

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  5. If f (tan x) = cos 2x , x != (2n + 1) pi/2, n in I then incorrect stat...

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  6. The value of lim(x to pi) (tan(picos^2 x))/(sin^2 x) is equal to

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  7. If f(x) = ((2 + x)/(1 + x))^(1 + x), then f'(0) is equal to

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  8. Total number of lines touching atleast two circles of the family of fo...

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  9. The locus of the middle points of the chords of the parabola y^(2)=4ax...

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  10. A flagstaff stands vertically on a pillar, the height of the flagstaff...

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  11. If z=3-4i then z^4-3z^3+3z^2+99z-95 is equal to

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  12. If the roots of the equation x^(3) + bx^(2) + cx + d = 0 are in arithm...

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  13. In the expression of (x^(4/5) + x^(-1/5))^(n), the coefficient of the ...

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  14. In the interval (0,2 pi), sum of all the roots of the equation sin(pi ...

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  16. If int(x^(pq-p-1))/((x^p +1)^(q))dx= 2(1+x^(-p))^(1-q)/(lambda p(q-1))...

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  17. The smallest possible natural number n, for which the equation x^(2) -...

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  18. If f(x) ={(lambdasqrt(2x+3),0 lex le3),(mux + 12, 3 < x le 9):} is dif...

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  19. Let in DeltaABC coordinates of vertex A is (0,0). Equation of the inte...

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  20. Let the maximum and minimum value of the expression 2 cos^(2) theta + ...

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