The area of the triangle with vertices at P = (1, 0, -2), Q = (2, 3, 1) and R = (2,1,0) is O a) V14 O b) V14 c) 증v70 d) None of these

Q: 11) Do the diagonals of figure ABCD bisect each other? Justify. A (-7, 5) B (6, 5) D(-9, -2) C(4,…

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Q: What is the area of the triangle with vertices given by (22, 12, 21), (22, 16, 21), Area =

A: Topic -Area of triangle We are given, vertices of triangle as (22,12,21),(22,16,21),(22,12,29)We kow…

Q: Identify the area of the polygon that has vertices H(5,-2), P(2,-4) O(-3,-2) S(-2,4)

A: We plot the given points first

Q: if fox) = 2x²tSx+4 find f'eI6).

A: The given function is: f(x)=2x2+5x+4x

Q: 7) Show that the triangle whose vertices are the points (1, 2, -1), (2, 3, 5) and (2, 1, 3) is/isn't…

A: Here we have to show that the triangle whose vertices are the points (1,2,-1), (2,3,5) and (2,1,3)…

Q: A parallelogram has exactly two paris of perpendicular sides True or false ?

A: The rectangle has exactly two pairs of perpendicular sides.

Q: 2) -3x + y = 23 A) (4,1) C) (-8, -1) B) (-4,-1) D) (1,4)

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Q: The area of the triangle with vertices V141 P (1, 5, 2), Q (0, 0, 0), R (3, 5, 1) is

A: Here, PQ = <-1, -5, -2> and QR = <3, 5, 1>. Now,         -1-5-2×351=-5· 1--2· 5-2· 3--1·…

Q: 13) Given points A(-3, 1), B(-2, 8), C(5, 7), and D(4, 0), prove quadrilateral ABCD is a square. Use…

A: All sides of square are equal and diagonal s are equal Each angle are right angle

Q: 5 The S.S. of the equation x?-930 in R is- a) {9} b) {81 ,-81} C) {3} d) {3,-3}

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Q: 3) 9ry dA, R is the triangle with vertices (0,0), (0,3) and (4, 3)

A: Given integral to evaluate ∫∫R9xydA R is triangle with vertices 0,0,0,3,4,3 The triangle will be

Q: 14) Write the equation of the perpendicular bisector of segment QR if Q(3, -2) and R(7, 6)

A: Find the equation

Q: A triangle has vertices at A (1, 6), B (-4,1), and C (0, -2). What are the coordinates of each…

A: Given: Vertices of triangle are: A = ( 1 , 6 ) B = ( -4 , 1 ) C = ( 0 , -2 ) To find: Co-ordinates…

Q: What is the perimeter of a triangle with the vertices (0,7) (0,1) and (4,7)

A: Given : Vertices of the triangle 0,7, (0,1) and (4,7)

Q: Solve for x

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Q: 2) Use completing the square to find the following: s+4 а) L-1 ans: e-2t cos2t + e¬2tsin2t (s²+4S+8)…

A: We have to answer the following... a. L-1s+4s2+4s+8b. L-12ss2+12

Q: The point of intersection of y = x² + 6 and x = 2 is ... A) (1,8) B) (2,8) C) (2, 10) D) (10, 2)

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

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Q: Show that quadrilateral QUAD, with Q = (-1.-4). U = (4. 11). A= (1, 12), and D= (-4,-3), is a…

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Q: If A(1,1,5), B(3,1,7), C(4,1,3) and D(6,1,5) are the nodes of a rhombus (parallelogram). Get the…

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Q: 2) 3ェ+2x+325+2ス,ズzt 2%3 1I Yn「omh: 4,2+4ニ+44=」

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Q: Triangle ABC has vertices at (-4,0), (-1,6) and (3,-1). What is the perimeter of triangle ABC,…

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Q: Determine the dbman of ACe)= 3x5 GxZxt

A: To find: The domain of the function fx=3x5-6x3+2x-1. Concept used: Domain: The domain of the…

Q: Find the area of parallelogram ABCD with vertice A(7,5,2), B(-1,2,9), C(6, –3, -4) and D(5,7,3).…

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Q: Q6: Determine whether AB is parallel or perpendicular to CD whe a) A(0,-1): B(1,1) ; C(1,5) D-1,1)…

A: to check the lines are parallel or perpendicular

Q: 3) 4x + y = 7 A) (4, 5) C) (3,-5) B) (-4,-5) D) (5, 4)

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Q: For A(-1,2); B(6,4); C (1, – 20), how many different points D could be chosen if ABCD is a…

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Q: 5) In rhombus DOGS, DO = 2p +9, and OG = 3p -6. Find GS. D 2p+9 3p-6 S. G

A: In rhombus DOGS,DO= 2p+9 and OG = 3p-6We need to find GS