Prove that the equation ax² + 2hxy+by² + 2gx+2 fy+c=0 wi h²2 = ab and bg2 = af?. Also find the distance between them.

Q: What will be our X1 if X2= -2, y1= 5, y2= 3 and our distance is 15?

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Q: n(n+1)(2n+1) 2.Prove k2 = for n > 1. 6. k=1

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Q: and

A: We will find the value of x.

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: The distance d from P1=(2,-5) to P2=(4,-2) is d=..................

A: The given points as ordered pairs are  P1=(2,-5) and P2=(4,-2). As the coordinates of a point are…

Q: What is the distance from P(2,4) to 2x-3y+1=0?

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Q: Find the distance of PQ P(-3, -9) and Q(12, -11)

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Q: Let a be a real number. What is the equation of the line that goes through (1,2+ a/2) and is…

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Q: Use the substitution u = x² and the equation of a semicircle to evaluate 4XV4 - x* dx.

A: Given the integral  I =∫024x 4-x4dx To evaluate the integral :- Using the substitution,  u = x2  du…

Q: Find a point whose coordinates are integers and whose distance from (3, 2) is √41

A: To find:   a point whose coordinates are integers and whose distance from (3, 2) is √41 Consider the…

Q: Find the distance d between the points (1, 3) and (5, 6).

A: Our Aim is to find the distance between the points (1,3) and (5,6).

Q: r = 14,0 = I 4 Description of locus in (x, y, z) space: Line made by the intersection of the…

A: Given the Polar coordinates      r=14 and θ=π4 Find the Cartesian coordinate y.

Q: Find the distance from (-2,-1) to (3,2)

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Q: Find all points where fex)= |21x-131 fails be be differenbiadle

A: Given:- f(x) = |21x-13| To find:- All points where function non differentiable

Q: If A = ( - 1, 2) and B = (3, 4), find AB and redraw it (a) in standard position and(b) with its tail…

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Q: point Mis the midpoint of JK find the length of JK 10X -5 4 + xר M

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Q: find the midpoint of AB if A(-3,8) and B(-7,-6).

A: GivenA(-3,8) and B(-7,-6).