6. Find points P and Q on the parabola y = 1-x² so that AABC formed by the x-axis and the tan- gent lines at P and Q is an equilateral triangle. (Refer to Figure 1.) P Figure 1

Q: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 that They are…

A: Find the equations of the tangents to the circle x^2 + y^2 + 4x - 10y + 21 = 0 thatThey are parallel…

Q: If the point (6, -1) is reflected over line y = 2 then dilated by 2, what would the new points be?

A:

Q: Sketch 9x2 + 25y2 = 5625 and the line segments connecting (20, 0) and (-20, 0) to (15, 12)

A:

Q: The slope of the tangent line to the parabola y=4x2+2x+6y=4x2+2x+6 at the point (-3,36) is: ?

A:

Q: Give a parametric representation for the straight line segment from the point (1,-1,2) to the point…

A:

Q: Find the tangent plane to the equation z = − 2x² + y² - 5y at the point (4,5,-32) z = Question Help:…

A: Given z = -2x2 + y2 - 5ypoint → ( 4 , 5 , -32 )

Q: Determine the equation of the tangent to the graph of y- x - 3x + x+3 at the point (- 1, -2). O a)…

A: We have to find the tangent of the given function at point (-1,-2).

Q: ind point P and Q on the parabola y=(-x^2)+1 so that the triangle ABC formed by the x-axis and the…

A: Given that the curve is                         To find point P and Q on the given parabola, so that…

Q: Eliminate the parameter t to find a Cartesian equation of a curve. x = 1 + 3t,  y = 2-t^2

A:

Q: Find the distance between the pointx1 =−1, y1 =1, z1 =3 and the point x2 =1, y2 =1, z2 =1.

A: The first point is (-1,1,3) and the second point is (1,1,1) We will use the distance formula: