Q17) Let ABCD be a convex quadrilateral in E.G. and let O be an interior point of ABCD. If E, F, G,H are the midpoints of the sides AB,CB,CD, AD simultaneously. Assume the areas of the polygonal regions AEOH, EBFO, FCGO and GDHO are a,,y and ß simultaneously. Then:

Q: Prove that for any two points A and B, line segment AB = line segment BA

A: To prove that for any two points A and B, line segment AB = line segment BA.

Q: The distance from (6, 8, 11) to the yz-plane is: A. 10 OB. 7 O C. 5 O D. 6

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Q: Let c1= ((c1x,c1y), r1) and c2= ((c2x,c2y) , r2) be two circles and p = (px,py) be a point. Decide…

A: As per the above, we aim to determine the relationship between a point and two given circles, and…

Q: Given: AABC with vertices A(-6,-2), B(2,8), and C(6,-2). AB has midpoint D, BC has midpoint E, and…

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Q: 26. Which of the following planes are identical, which are parallel to each other, and which are…

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Q: 30. Given: AACD is isosceles with ZD as the vertex angle. B is the midpoint of AC. AB = x + 5, BC =…

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Q: a) Find. the domain.of.f) -b) Find if it. ex13ts, x-,y-intercepts. - S Find if erists, the hortal…

A: Given: fx=x2+2x

Q: Name three points that determine plane M.

A: Given, two planes M and N that intersect on line passes through A and B in image we can see three…

Q: Choose two figures which are topologically equivalent to each other

A: We can say A and B are topologically equivalent or homeomorphism if there exist a continuous,…

Q: Q6) If the point A, B, C are .collinear then AB.BC = 0 F

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Q: Evaluate O F.dT where +(3y %3D y + 1 and C is the triangle with vertices: (0,0), (6,0), (3, 5).

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Q: . BD bisects LABC, m LABC 5x - 4, and mLCBD = 3 + 21. Is ZABC acute, obtuse, or right?

A: We draw the figure as m∠ABC=5x-4m∠CBD=32x+21

Q: Given a point P := (30, 24, 9) and a plane 2x + 2y + z =-12, let D be the distance from P to this…

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Q: Find: a. Vertex b. focal width c. End points of the lactus rectum

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Q: In triangleRST, the medians are RM, SN, and TP. If RM = 9, SN = 12, and TP = 16, find the distance…

A: median of the triangle

Q: 3. Find the area of the rhombus. dl (2x +2) cm d2 (6x + 8) cm

A: As we know that the area for a rhombus when the p and q are the diagonal is:- A=pq2

Q: 3. A player P stands 10 metres directly in front of a soccer goal O ABC, as shown below. The corners…

A: a)Co-ordinates of GG0+7.52,0+02,0+02=G154,0,0Co-ordinates of P∵P lies on the  xy planeso…

Q: Let ABCD be a convex quadrilateral, I and I2 be the incenters of AABC and ADBC respectively. The…

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Q: Let A, be the center of the square inscribed in acute triangle ABC with two vertice side BC (as…

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Q: what is the maximum interior angle possible for a regular p olygon?

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Q: Let ABCD be a convex cyclic quadrilateral with perpendicular diagonals such that ∠ABC=45∘, BC=5, and…

A: To find the area of the convex cyclic quadrilateral ABCD, we can use the following formula derived…