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Let tan alpha . x + sin alpha · y = alph...

Let `tan alpha . x + sin alpha · y = alpha` and `alpha. cosec alpha • x + cosalpha · y = 1` be two variable straight lines, `alpha` being the parameter. Let `P` be the point of intersection of the lines. In the limiting position when `a ->0,` the point `P` lies on the line :

A

`x=2`

B

`x=-1`

C

`y+1=0`

D

`y=2`

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A, C, D
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VIKAS GUPTA (BLACK BOOK)-LIMIT-EXERCISE (ONE OR MORE THAN ONE ANSWER IS/ARE CORRECT)
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  2. Let lim (xtooo) (2 ^(x) +a ^(x) +e ^(x))^(1//x)=L which of the follow...

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  3. Let tan alpha . x + sin alpha · y = alpha and alpha. cosec alpha • x +...

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  4. Let f:R->[-1, 1] be defined as f(x) = cos(sin x), then which of the fo...

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  6. Which of the following limits does not exist ?(a) lim(x->oo) cosec^(-1...

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  8. Let f:R->R;f(x)={(-1)^n if x=1/(2^(2^n)), n=1,2,3.......... and 0 othe...

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  12. If f (x) = lim ( n to oo) (n (x ^(1//n)-1)) for x gt 0, then which of...

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  14. If alpha,beta in (-pi/2,0) such that (sin alpha+sinbeta)+(sinalpha)/(s...

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  15. Let f(x)={|x-2|+a^2-6a+9, x < 2 and 5-2x, x >= 2 If lim(x->2) [f(x)] e...

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  17. Let f (x)= [{:(x+3,, -2 lt x lt 0),(4, x=0),(2x+5,, 0 lt x lt 1):}, t...

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  18. Let f (x)= [{:(x+3,, -2 lt x lt 0),(4, x=0),(2x+5,, 0 lt x lt 1):}, t...

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  19. A certain function f(x) has the property that f(3x)=alpha f(x) for all...

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