B. Find the point on the line y = 10 – 2x that is closest to the origin. REFLECTION

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A: To find the distance from the point to the line.

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A: y=ax2y'=2axy'(4)=2a(4)y'(4)=8a Now we have 5x+y=b ⇒y=-5x+b Compare with the equation y=mx+b From…

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Q: 1. Find the point on the line 1 - a that is closest to the origin.

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Q: B. Find the distance between the point (1. 1.3) and the line =z-3) OMI NOTL

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A: We have to find a point on line which is closest to the origin.

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A: Given, A curve with lines A,B,C,D from geometry we can define tangent as a tangent line on a plain…

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A: Given: The line 4x+y=b is tangent to the parabola y=ax2 when x=5. To Find: Value of a and b.…

Q: For what values of a  and b  is the line 2x  + y = b tangent to the parabola y = ax 2   when x = 2

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Q: Q4/ Find the angle between the curves x² = y & y² = x

A: The curves intersect at (1,1).  Now calculate slope at (1,1):  ddxx21,1=ddxy1,12x1,1=dydx1,1m1=2…

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Q: Q3/ Find the angle between two curves: 3 x2 , y = x² y = 2

A: Please see the answer in step 2

Q: Q5/ Find the equation of the circle tangent to the lines y=2, x-3 and y = x+2.

A: Explained below

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Q: Q1/ Find the equation of the circle tangent at least to three lines (y = 1, y 5, x 2 and x = 7). %3D

A: We have considered the first 3 lines as the line of the tangents For more see below

Q: What can you conclude if you know that the point (p, q) lies on the line y = mx + b?

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Q: Show that the point (x0 , y0) closest to the origin on the line ax+ by =c has coordinates

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Q: Find the point (x, y) on the unit circle that corresponds to the real number t. t= π/2 (х, у) -

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Q: Q2) A- Find the distance between the line (y = x + 3 ) and center of circle (x²+y²–2x=0).

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A: The solution for the above solution is as shown below.

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