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x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at...

`x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4`. If at point `(2, -1), lamda = (dy)/(dx)` then the value of `lamda`= ……..

A

2

B

`(6)/(7)`

C

`-6`

D

7

Text Solution

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The correct Answer is:
B
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KUMAR PRAKASHAN-CONTINUITY AND DIFFERENTIABILITY-Textbook based MCQs
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  2. f(x)= |(sin x,cos x),(tan x,cot x)| then f'((pi)/(4))= …….

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  3. x= t^(2) + 3t- 8,y= 2t^(2) -2t- 4. If at point (2, -1), lamda = (dy)/(...

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  4. x=2 + t^(3), y= 2t^(2). If ((d^(2)y)/(dx^(2)))/(((dy)/(dx))^(n)) is co...

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  5. If F(x) = (1)/(x^(2)) underset(4)overset(x)int (4t^(2)- 2F'(t))dt then...

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  8. [(d)/(dx) sec^(-1)x](x = -3)=…….

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  9. (d)/(dx) (x^(x))= ….(x gt 0)

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  10. (d)/(dx) (sin^(-1)x + cos^(-1) x)=……..(|x| lt 1)

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  11. (d)/(dx) (a^(a))= ……(a gt 0)

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  12. (d)/(dx) (e^(5x))= …….

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  13. (d)/(dx) (log |x|)= ……..(x ne 0)

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  14. (d)/(dx) (sin^(3)x)= …….

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  15. (d)/(dx) (tan^(n)x)= ……..

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  16. If f(x)= {(ax+b,1le x lt 5),(7x-5,5 le x lt 10),(bx + 3a,x ge 10):} is...

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  17. If f(x)= {((x^(2))/(a)-a",",x lt a),(0",",x=a),(a-(x^(2))/(a)",",x gt ...

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  18. If f(x)= {(x",",x in {0, 1}),(1",",x ge 1):} then, ……

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  19. (d)/(dx). ((1)/(log|x|))= …….

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  20. If y= a sin x + b cos x then, y^(2) + (y(1))^(2)= ……. (a^(2) + b^(2) n...

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