Problem 4: For what valnes of a and o s the line y=-2x+b tangent to the parabola y=Ox° whern X=2?

Q: For x^2+y^2-8x-4y+C=0 (a)If this is the equation of a circle with centre (4,2) and radius 3,find the…

A: Given…

Q: 2. Find the equations of tangents that can be drawn from the origin to the circle x² +y-2x+8y+2=0.

A: Given below the detailed solution

Q: 3. Find the slope m of the tangent lines to the parabola y = -x+ 5x+ 6t its point of intersection…

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Q: 4. The circle with the equation x2 + y2 = 169 cuts the y-axis at M and N, and the x- axis at P and…

A: NOTE:  As per our guidelines we supposed to answer only one question.  Kindly repost other questions…

Q: The line -8x + y = m is tangent to the parabola f(x) = nx² when x = 5. Find the values of m and n.

A: NOTE: Refresh your page if you can't see any equations. . the given tangent line is  here we have…

Q: 6. There equations. are two line through (-2,0) tangent to the parabola y = 4r. Find their

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Q: 11. Find the equation of the line tangent to the parabola y=x²-3x+2 and perpendicular to the line…

A: Determine the equation of tangent line

Q: 3. Find the equation of the tangent line to the parabola 4x² +9y² = 18z, x = 3 at the point (3, 2,…

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Q: Find the slope and equation of line tangent to the curve 8x1x16x² at x = 4 Y = 3

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Q: a) Determine the point at which the slope of the tangent to each parabola is zero. i) y= 6x2-3x + 4…

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Q: Find all points where the parabola y = 9 - x² 1 intersects the line y = zx+6. 2

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Q: 2. Find the equation of the line that is tangent to the circle x + y = 25 at the point P(3,4)

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Q: Find the equations of the tangent lines to the circle (x + 2)² + (y + 2)² = 25 at the two points…

A: At x=2; (2+2)2+(y+2)2=25 16+(y+2)2=25 (y+2)2=9 y+2=±3y = 1 or -5Therefore two points at which…

Q: Situation 7. Find the tangent to the parabola y? = 6x – 3 perpendicular to the line x + 3y = 7. 26.…

A: Given that parabola y2=6x-3 , tangent perpendicular to the line x+3y=7To find : equation of tangent…

Q: 3. a. C. Find the equation of the tangent to the curve at the given point. 3√x 5x2+1 y² = 2xy - 3,…

A: Note:As per our guidelines we are supposed to answer only  first 3 sub parts if there are multiple…

Q: 5. Show that the sum of the intercepts of the tangent to the parabola (Art. 129), x+y=a¹, is equal…

A: We need to prove given theorem.

Q: For what values of a and b is the 2x + y =b  line tangent tothe parabola y =ax2 when x =2?

A: Rewrite the equation of the tangent line as y=-2x+b and its slope is -2.

Q: 5. How many lines are tangent to both of the parabolas y = -1-x² and y = 1+ x?? Find the exact…

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Q: 2. The slope of the tangent to a curve at any point (x, y) on the curve is. Find the equation of the…

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