Q5) Find the coefficients a, b,c and d such that the curve defined by; y = ax3 + bx² + cx + d, passes through the points (0,10), (1,7), (3, –11), (4, –14).

Q: An ant is walking on the xy-plane is such a way that its distance to the point (2, 4) is always the…

A: Solution: Let the point P(x,y) is the position of Ant and given that the distance from P(x,y) to…

Q: Find the point on the line x - 3y+9 = 0 that is closest to the point (-1, 3). 1) (-0.9, 2.7) O 2)…

A: Closest distance form a point to a line is normal distance from point to line.

Q: a point Q(x2, y2) is on the line segment passing through R(-2,5) and S(4,1). Find the coordinates of…

A: Given: Given that the point Qx,y is on the line segment passing through R-2,5 and S4,1 Point Q is…

Q: Find the distance between the point P(-2,4) and the line 3x-4y 12

A: Find the distance from the point P (–2, 4) to the line 3x – 4y = 12.

Q: 8. X(2, 4) translated (x + 3, y– 3).

A:

Q: The line in R that is parallel to the y-axis and passes through the point (1, 2, 3) has equation + t…

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Q: Find an equation of the line through (-2, 5, 3) that is perpendicular to both u = (1, 1, 2) and the…

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Q: Find the equation of the line passing through the point (7, 2) and perpendicular to the line 5y = 9…

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Q: Find the midpoint of points A(-8,2)and B(-5,-5) graphically.

A: Explanation: Plot the points A and B on the graph. Then draw a horizontal line from A and Vertical…

Q: Find the Midpoint M of the line segment joining the points Q=(-6,5) and D=(0,-3)

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Q: Find the foot of the perpendicular drawn from (4,1) upon the straight line 3x – 4y + 12 = 0 -

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Q: The distance between the points (3, 8) and (x, 8x + 3) i

A: Solve for the distance between two points

Q: Find the length of the line segment CL whose endpoints are C(0, 2b) and D(2a, 0). (1) 2b – 2a (3) 2b…

A: Given data: The coordinate of C is (x1, y1)=(0, 2b). The coordinate of D is (x2, y2)=(2a, 0). The…