Consider the line L(t) = (1 – 5t, -1, 2t) and the point P = (-5, –4,-2). %3| How far is P from the line L?

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Q: a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

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Q: Find the x- and y- intercepts (a,b) of the line L: x - 2y = -4 O a = 2, b = 4 %3D O a = -4, b = -2 O…

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Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: Find the distance d between the point M(5, 2, 4) and the line x- 8 y -2 Z-2 %D -8 -9 7.

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Q: nd the midpoint M of the line segment joining the points C = (0, 8) and D = (-8, 4). M = 0D Dlo

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Q: The slope of the line tangent to the graph of 3x +5In y 12 at (2, 1) is 12 (A) 12 (B) 5. (C) 12 4.

A: Given that 3x2+5lny=12To find : Slope of the tangent line at point 2,1Solution :

Q: If M = 4320 and G = 150, what is the AD curve? A. 4320 Y =: +1130 2x4320 + 1130 %3D P. Y = 2x4320…

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Q: Ay M 3.

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Q: Consider the line L(t)=(5,2t,5t-5) and the point P=(1,5,2). How far is P from the line L?

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A: NOTE-Since you have posted a question with multiple sub-parts, we will solve first three subparts…

Q: Find the length of the line given by r(t) = ⟨t, 2t⟩, for a ≤ t ≤ b.

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A: “Since you have asked multiple questions, we will solve the first question for you i.e. (a). If you…

Q: Find the distance between the two given points. S (-1, 6) and T (-1, 14)

A: We know that distance between two point (x1,y1) and (x2,y2) is  (x2-x1)2+(y2-y1)2 Therefore distance…

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A: L1:x+2y=3 L2:2x-3y=-1

Q: Find the value of h,if the slopes of the lines representedby 6x +2hxy +y = 0 arein theratio1:2.

A: As we know that, the equation for the pair of straight-line passing through origin is: y-m1xy-m2x=0…

Q: find the distance between two given points 3. E(7,5) F(-5,0)

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Q: Find the value of p for which the lines 2x+3y-7=0 and 4y-px-12=0 is perpendicular to each other

A: 2x+3y-7 =0 ...... (i) y = (-2/3)x +7/3  -PX+4y-12=0 ........(ii) y =(p/4)x  +3

Q: Find the distance between the given point Q and the given line. Q(- 9, 1, 10); x= - 5+ 3t, y = 1-t,…

A: Given that, the point is Q-9,1,10 and x=-5+3t, y=1-t and z=7+4t. Obtain the value of rt=xi+yj+zk.…

Q: Find the slope of the curve at the given point. 7y^7+5x^9=2y+10x (1,1)

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Q: Consider the line y ax, where a is a positive constant. What should be the x- coordinate of the…

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Q: Find the midpoint M of the line segment joining the points P = (-7,-6) and Q = (-1, 2). M = OD %3D

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Q: Find the point on the line x + 2y = 5 that is closest to the origin.

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

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Q: Find the distance from the point (-3,1,0) to the line d(t) = (1, 0, 2)t + (4, – 9, – 2) .

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Q: Graph the line containing the point P and having slope m. P = ( 2,1 ) ; m = 4

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

A: Topic : Coordinate Geometry  Answer  question no 2 :- sqrt(8) As per our guidelines,  at a time only…

Q: Consider the line y = ax , where a is a positive constant. What should be the x- coordinate of the…

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Q: Consider the points P(1,0,3) and Q(5, 2, -1), and the line 1: { x = -7-2t y=t z = 9+t

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Q: Consider the line y = ax , where a is a positive constant. What is the shortest distance between the…

A: Here we use the general formula for calculating the shortest distance between line and point.