The equation of two side of a triangle are y = m11 aDnd y= m2r, where and | m1 mg are two roots of the equation br+ 2hz + a 0. If the orthocentre of the triangle be (a,b), then show that the equation of the third side of the triangle is (a + b)(azI + by) = ab(a+b-2h).

Q: 2) Find the formula for a quadratic function that passes through the points (4, 3) and (2, o a as…

A: To Find :- The formula for a quadratic function that passes through the points (4, 3) and (2, 8) and…

Q: The equation y3=3Bxis the general solution of

A:

Q: Which of the following coordinates represent the same point:(3, π/2), (3, 3π/2), (3, 5π/2), (-3,…

A: Given the coordinates and we have to select the coordinates which represents the same points.

Q: A car safety association conducted tests to measure the stopping distances of a new model of car and…

A: Given equations: y=0.225x+12.45y=0.0032(x-30)2+19.2y=1.90(1.08)x

Q: Q5) Find the equation of the horizontal line that passes through (-9,5). Write the resulting…

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Q: Explain Muller’s method to find a root of an equation. And give one illustrative example

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Q: Write a 3rd degree equation with roots of -5 and (3+4i). "i" should not be in your answer.

A: complex roots occurs in pair. Therefore, if 3+4i is a root, then 3-4i is also a root. Factor form:…

Q: The x-coordinate of a point P is twice it's y- coordinate .If P is equidistant from Q(2,-5) and R…

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Q: If P = (4,0) and Q = (3, 5), find the components of PQ PQ

A: Solution:-

Q: and x>0 2) lincar equationi in standard form

A: Solution:- solve by intregrating factor

Q: (a) eln(8x) = 8. Answer: x = (b) 10log(8x+5) = 8. Answer: x =

A: Ln is to the base e and log is to the base 10

Q: 3x- 2x°+1 +5x³ +8x° -10

A: let p(x)=3x3-2x2+1+5x3+8x2-10

Q: An historic, parabolic arch which provides a walkway under a building can be modeled by the 36…

A:

Q: For u= (7. - 4) and v = (- 1, - 5). find the component form and the magnitude of u + v. u+v = OD…

A: u=7-4,   v=-1-5 . u+v=7-4+-1-5 u+v=7+-1-4+-5 u+v=6-9

Roots

The main dissimilarity between real and complex roots is that the real roots are obtained as real numbers, in contrast with the complex roots, which are indicated as imaginary numbers. The standard format for depicting any complex number is in the form of a + bi.