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Let g (x) be a cubic polnomial having lo...

Let `g (x)` be a cubic polnomial having local maximum at `x=-1` and g '(x) has a local minimum at `x =1, If g (-1) =10 g, (3) =- 22,` then

A

perpendicular distance between its two horizontal tangents is 12

B

perpendicular distance betweent its two horizontal tangents is 32

C

`g (x)=0` has atleast one real root lying in interval `(-2,0)`

D

`g (x) =0, ` has 3 distinict real roots

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B, D
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VK JAISWAL ENGLISH-APPLICATION OF DERIVATIVES -EXERCISE (ONE OR MORE THAN ANSWER IS/ARE CORRECT )
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  2. Let f (x) be twice differentialbe function such that f'' (x) gt 0 in [...

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  3. Let g (x) be a cubic polnomial having local maximum at x=-1 and g '(x)...

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  4. Let S be the set of real values of parameter lambda for which the eq...

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  5. The function f (x) =1+ x ln (x+ sqrt(1+ x ^(2)))-sqrt(1- x^(2)) is:

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  6. Let m and n be positive integers and x,y gt 0 and x+y =k, where k is c...

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  7. The staright line which is both tangent and normal to the curve x = 3t...

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  8. A curve is such that the ratio of the subnormal at any point to the su...

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  9. A probola of the form y = ax ^(2) +bx +x (a gt 0) intersects the graph...

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  10. Gradient of the line passing through the point (2,8) and touching the ...

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  11. The equation x + cos x=a has exactly one positive root, then:

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  12. Given that f (x) is a non-constant linear function. Then the curves :

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  14. Let f(x)=sinx+a x+bdot Then which of the following is/are true? (a) f(...

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  15. Which of the following graphs represent function whose derivatives hav...

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  16. Consider f (x)= sin ^(5) x-1, x in [0, (pi)/(2)], which of the followi...

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  17. Let f (x)= [{:(x ^(2alpha+1)ln x ,,, x gt0),(0 ,,, x =0):} If f (x) sa...

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  18. Which of the following is/are true for the function f(x)= int (0) ^(x)...

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  19. Let F (x) = (f (x ))^(2) + (f' (x ))^(2), F (0) =6, whtere f (x) is a ...

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