2. Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 = 0

Q: find the angle between the 3x lines y 4 З and 5x - 2у %3D 10. -

A: The two lines are as follows y=3x4-3 and 5x-2y=102y=5x-10y=52x-10 comparing with y=mx+c where m is…

Q: 27. Find the area of the parallelogram with vertices A (-3, 0), B (-1, 3), C (5, 2), and D (3, –1).

A:

Q: . Calculate the area of the triangle formed by the line 3x-7y+4 =0 , and the (ans.: 8/21) axes.

A: As per our guideline we are allowed to do 1 question at a time. Please post other questions next…

Q: a) Find the distance between the point P (9, 1) and the line 3x+4y 6.

A: As per our guidelines we are supposed to solve only one question i.e. the question no (a). For the…

Q: Find the area of the triangle bounded by the lines y=x+3, y=2x-1 and y=-3x+4

A:

Q: a) Find the distance between the point P=(9, 1) and the line 3x+4y=6.

A: Since the student has posted multiple questions and does not mention any specific question, so we…

Q: Find the area of the triangle formed by the lines repr

A:

Q: 5. Construct a copy of the line segment below. U V

A: To construct a linesegment by copying using a compass

Q: If QT = 8z - 2 and ST = 6z, find the value of z in rectangle PQRS. %3D R Submit P.

A:

Q: 4. Use slope and/or distance formula to show that quadrilateral DUST is a square. D(-1,7), U(7,1),…

A: Given co-ordinate is : D=-1,7U=7,1S=1,-7T=-7,-1 Use distance formula having co-ordinate is x1,y1 and…

Q: 5. Find the bisectors of the angles between the lines, 2x-y 1 and 11x +2y= 5.

A: Given, lines, 2x-y=1,  11x+2y=5 now find angle bisectors between lines we know the formula of…

Q: Find the distance between the lines: ri = +! r2 = + s

A: We have to find the distance between given 2 lines.

Q: Find nature of the triangle formed by the lines x2-3y2=0 and x=2

A:

Q: 1. Find the angle between the lines L,:x = 3 + 8t, y = -6t,z = –7+ 24t and L2:x = 3 + 8t, y = 15t, z…

A: Solving only ques 1 according to guidelines.

Q: 2. Find the angle between the lines 3x – 5y = 11 and 6y – 10x = 3.

A:

Q: |(p-q)(r-s) bc-ad

A:

Q: Find the distance from the point (1,1,5) to the line x=1+t, y= 3-t, z=2t O 2.236 O 0.36 O 36

A:

Q: S. r.dr = .. .?, where C is the circle x² +y² = a²,z = 0 and r = xi + yj + zk

A: The given question belonging to the vector calculus  in which we have to find the value of the…

Q: Find the bisectors of the angles between the lines x + 7y = 8, x – y = 10.

A:

Q: Find the distance from the point P(2,1) to the line v = x + 2

A:

Q: Find the area of the triangle that lies in the first quadrant (with its base on the x-axis) and that…

A: y=2x-4 and y=-4x+20 We need to find the area of the triangle that lies in the first quadrant (with…

Q: Find the value of a that makes lines u and v parallel. 125 + x x+65 O -5 O 12

A: Solution

Q: Q2 Sf(2)d2, where Sfrzidz, f(2) =(2+2) and c is Evaluate the circle 2=2e

A: C traversed  counter clockwise. If clock wise then value will be negative.

Q: If the four straight lines ax + by +p=0, ax + by +q = 0, cx + dy +r=0 (p-a)(r-s and cx + dy + s = 0…

A: The given equation of lines of parallelogram are  ax + by + p = 0,   ax + by + q =0 m1 = -a/b c1 = -…

Q: Evaluate ry dr + r'dy, where C is the rectangle with vertices (0,0), (3,0), (3,1), and (0,1)

A:

Q: Calculate Sc(x + y) ds, where C is the rectangle formed by de x=0, x=4, y= -1 and y=1

A:

Q: -2 12 10 10 10 2 0 D=(2, 10) d A=(1-1)- a U C=(8,6) b B=(6,2) OD 10 12 X 14 16

A: We have to find out perimeter

Q: 3. Find the angle from the first line to the second: x – 4y =7 & 3x +5y = 4

A:

Q: sides of length a and the smaller square has sides of length b. What is the area of the shaded…

A:

Q: Find the value of z that makes lines u and v parallel. 85° 12x+ 1

A:

Q: If the four straight lines ax + by + p = 0, ax + by + q = 0, cx + dy + r = 0 |(p-4)(r-s) bс - ad and…

A:

Q: If the four straight lines ax + by + p= 0, ax+ by +q= 0, cx+ dy +r=0 |(p-g)(r-s)| and cx + dy + s =…

A:

Q: Find the smallest angle between the lines 2x+y-8=0 and x+3y+4=0

A: We have to find angle between lines.

Q: Find the area of the triangle formed by the lines 5x + y – 14 = 0, x+ 7y + 38 = 0, and 9x – 5y + 2 =…

A:

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: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is A: 0° B: 45° C:84° D:34°

A: we have to find the angle between the two given planes

Q: 3. Find the area of the quadrilateral enclosed by the lines x y = 0, 2x – 5y = –15 and 5x – 2y = 15.…

A: Let's find.

Q: If the four straight lines ax + by +p = 0,ax + by +q = 0,cx +dy + r = 0 |(p-q)(r-s)| and cx + dy +s…

A:

Q: 1- The angle between the two planes 4y – 4x = 8, and 3y – 15x – 12 = 0 is А: 0° B: 45° C:84° D:34°

A: Given planes are: 4y-4x=83y-15x-12=0

Q: Find the cоттоn points of the circles (x + 1)² + (y – 1)² = 5 and x² + y? = 1.

A: Common points of the circles simply means the point of intersection of the given circles.

Q: 2. Find the area of the rhombus. dl = (6x + 4) cm d2 = (10x + 10) cm a. (200x³) cm² b. (30x? +50x +…

A: There is given a rhombus which diagonals are (6x+4) cm and (10x+10). We have to find the area of…

Q: 1. Find the angle between the lines L1:x = 3 + 8t, y = -6t, z = -7 + 24t and L2:x = 3 + 8t, y = 15t,…

A:

Q: Find the distance in between the point P(0, 2, – 1) and the point Q(0, 1, 2).

A: we have to find distance between the points P and Q Given Points : P(0,2,-1) and Q(0,1,2)

Q: 2. Find the area of the triangle formed by the lines Sz + y – 14 = 0, z + 7y + 38 = 0, and 9z – 5y +…

A: First we find vertex of triangle by using given lines.

Q: Find the product of the lengths of the perpendiculars drawn from (2,1) upon the lines…

A:

Q: 1. Find the angle between the lines L1:x = 3 + 4t, y = 2 – 3t, z = 12t and L2:x = 8t, y = 2 – 15t, z…

A:

Riemann Sum

Riemann Sums is a special type of approximation of the area under a curve by dividing it into multiple simple shapes like rectangles or trapezoids and is used in integrals when finite sums are involved. Figuring out the area of a curve is complex hence this method makes it simple. Usually, we take the help of different integration methods for this purpose. This is one of the major parts of integral calculus. 

Riemann Integral

Bernhard Riemann's integral was the first systematic description of the integral of a function on an interval in the branch of mathematics known as real analysis.