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महाराष्ट्र राज्य शिक्षण मंडळएचएससी वाणिज्य (इंग्रजी माध्यम) इयत्ता १२ वी

Choose the correct alternative: Slope of the normal to the curve 2x2 + 3y2 = 5 at the point (1, 1) on it is - Mathematics and Statistics

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प्रश्न

Choose the correct alternative:

Slope of the normal to the curve 2x2 + 3y2 = 5 at the point (1, 1) on it is 

पर्याय

  • `-2/3`

  • `2/3`

  • `3/2`

  • `-3/2`

MCQ

उत्तर

`3/2`

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  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 1.4: Applications of Derivatives - Q.1

संबंधित प्रश्‍न

Find the derivative of the following function from first principle.

(x – 1) (x – 2)


Find the derivative of the following function from first principle.

`(x+1)/(x -1)`


Find the derivative of the following function from first principle:

−x


Find the derivative of the following function from first principle:

(–x)–1


Find the derivative of the following function from first principle: 

sin (x + 1)


Find the derivative of the following function from first principle: 

`cos (x - pi/8)`


Choose the correct alternative.

The equation of tangent to the curve y = x2 + 4x + 1 at (-1, -2) is 


Choose the correct alternative.

If f(x) = 3x3 - 9x2 - 27x + 15 then


Fill in the blank:

The slope of tangent at any point (a, b) is called as _______.


Fill in the blank:

If f(x) = x - 3x2 + 3x - 100, x ∈ R then f''(x) is ______


Fill in the blank:

If f(x) = `7/"x" - 3`, x ∈ R x ≠ 0 then f ''(x) is ______


State whether the following statement is True or False:

The equation of tangent to the curve y = 4xex at `(-1, (- 4)/"e")` is ye + 4 = 0


Find the equation of tangent and normal to the following curve.

y = x2 + 4x at the point whose ordinate is -3.


Find the equation of tangent and normal to the following curve.

x = `1/"t",  "y" = "t" - 1/"t"`,  at t = 2


Find the equation of normal to the curve y = `sqrt(x - 3)` which is perpendicular to the line 6x + 3y – 4 = 0.


The slope of the tangent to the curve y = x3 – x2 – 1 at the point whose abscissa is – 2, is ______.


State whether the following statement is True or False:

The equation of tangent to the curve y = x2 + 4x + 1 at (– 1, – 2) is 2x – y = 0 


Find the equations of tangent and normal to the curve y = 3x2 – x + 1 at the point (1, 3) on it


Slope of the tangent to the curve y = 6 – x2 at (2, 2) is ______.


Find the equation of tangent and normal to the curve y = x2 + 5 where the tangent is parallel to the line 4x – y + 1 = 0.


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