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The line y = m x + 1is a tangent to the ...

The line `y = m x + 1`is a tangent to the curve `y^2=4x`if the value of m is
(A) 1
(B) 2
(C) 3
(D) `1/2`

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AI Generated Solution

To determine the value of \( m \) for which the line \( y = mx + 1 \) is a tangent to the curve \( y^2 = 4x \), we can follow these steps: ### Step 1: Substitute the line equation into the curve equation We start with the line equation: \[ y = mx + 1 \] We substitute this into the curve equation \( y^2 = 4x \): ...
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NCERT ENGLISH-APPLICATION OF DERIVATIVES-SOLVED EXAMPLES
  1. The line y = m x + 1is a tangent to the curve y^2=4xif the value of m...

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  2. Use differential to approximate sqrt(36. 6)

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  3. Find the equation of tangent to the curve given byx=asin^3t ,y=bcos^3t...

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  4. Find the approximate value of f(3. 02), where f(x)=3x^2+5x+3.

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  5. The line y=mx+1 is a tangent to the curve y^2=4x if the value of m is(...

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  6. If the radius of a sphere is measured as 9 cm with an error of 0.03 c...

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  7. Find the approximate change in the volume V of a cube of side x meter...

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  8. Find the maximum and minimum values of f , if any, of the function gi...

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  9. Find the maximum and the minimum values, if any, of the function f gi...

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  10. Find all points of local maxima and local minima of the function f gi...

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  11. Find the maximum and the minimum values, if any, of the function give...

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  12. Let f(x)=3x^(4)+4x^(3)-12x^(2)+12. Find local maximum and minimum valu...

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  13. Find all the points of local maxima and local minima of the function ...

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  14. Find all the points of local maxima and local minima of the function ...

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  15. Find local minimum value of the function f given by f(x)=3+|x|,x in R...

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  16. Let AB and CD be two vertical poles at point A and B , respectively ,...

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  17. If the length of three sides of a trapezium other than the base is 1...

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  18. Find two positive numbers whose sum is 15 and the sum of whose square...

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  19. Find the shortest distance of the point (0, c) from the parabola y=x^2...

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  20. Prove that the radius of the right circular cylinder of greatest cu...

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  21. Find the absolute maximum and minimum values of a function f given ...

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