Write the equation of the line 3x -4y -10 =0 to the normal form xcos (theta) +ysin (theta) =rho, where the theta is the normal angle. What is the value of cos (theta). Ans: 3/5

Q: Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby…

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

A: The given lines are x-4y=7  and  3x+5y=4. Rewrite them as y=14x-74  and  y=-35x+45. Thus, the slopes…

Q: Determine the angle between the two lines: 1₁: 7 = (1,0) + t(0, —2), t ¤ R x+2 y-3 and 1₂: *+² = −³.…

A: Given

Q: Find the angle between the lines x+3y-1=0 and 2x+3y-5=0

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Q: Find the angle between the line represented by 2x2+xy-6y2+7y-2=0

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Q: -(39) is the value of a so that the line r 2 – 3t, y = 1 + at, z = -3 + 9t is z +5 x + 1 y + 2…

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Q: 20. Find the equation of the line through (13, 5) which makes an angle of 45 degrees with the line…

A: Given point is 13,5 and angle is 45°given equation is 2x+3y=12find the equation of line

Q: Use the methods of chapter twelve to find the angle between the lines y = -3 and 5x - 2y = 10.

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Q: Use the methods of chapter twelve to find the angle between the 3x lines y 3 and 5x – 2y = 10. - 4

A: In the above question we have given the equation of two lines and we have to find angle between…

Q: Consider the two following lines in R. (;)-) 1 + y = 2x – 5 and y 2 - t (a) Find the point where…

A: The standard form of a linear equation is ax+by+c=0. For two intersecting lines: a1x+b1y+c1=0 and…

Q: 1. The distance (d) from the center of the seesaw varies inversely as the weight (w) of a person. JB…

A: We have to find the distance from fulcrum.     According to our guidelines we can solve only one…

Q: Find the angle between two straight lines having the equations 3x + 4y - 10 = 0, and 4x-5y + 2 = 0.…

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Q: find the angle between the line represented by 2x2+xy-6y2+7y-2=0

A: Find the angle between pair of straight line

Q: The tangent of the acute angle between the lines y = 4x – 3 and y =x-5 is 4. IA 2 D

A: Two lines are given as : y = 4x - 3 and y = x - 5

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: ar + by = k cz+ dy =1 er + fy = m Indicate what we can say about the relative positions of the lines…

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Q: Solve AXYZ, given ZY = 90°, Y Z = 38, and ZX = 66°. Make your angle measures correct to the nearest…

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Q: Find the acute angles between the lines y = √3x - 1, y = -√3x + 2 Find the length and direction…

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

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Q: Line QS bisects ∠PQT, and line QP  and line QR are opposite rays. If m∠PQT = 60  and m∠PQS = 4x +…

A: ∠PQT=60° ; ∠PQS=4x+14And ∠PQS=12 ∠PQT                      Because QS…

Q: Find the value of k, if the angle between the straight lines 4x – y +7=0 and kx – 5y – 9 = 0 is 45°…

A: Given,          The angle between the straight lines 4x-y+7=0 and kx-5y-9=0 is 45°.We know that,…

Q: In Problem,find the distance from P1 to P2.

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Q: y+1 O Determine the angle between the lines 7 – x = and 2æ – 9y + 7 = 0 [k2] -

A: Given that  The two lines are  To find the angle between the two lines

Q: fc x sin y ds c is the line segment from (0,3) to (4,6)

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Q: x = -2t x - 3 1 – y Given: line l1 : 4 = % – 8 and l2 2 y = 2+ 2t - % = 6 + 2t 1. If the given lines…

A: We have to find angle between the lines L1 & L2

Q: 4) 3. Find either angle between the lines described by 2 y = x + 3 and -3x + y + 18 = 0

A: Angle between the lines θ=tan-1m1-m21+m1m2 m1 and m2 are the slope of the lines let the line l1:…

Q: 21. Given the equation of two lines; y=-4+t and z=1-t, l₁: x=2+3t, l₂x = -1 + 2s, y = -4+s and…

A: We have to find the point of intersection and angle.

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

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Q: Find the angle between the straight-lines 3x – 2y + 9 = 0 and 2x + y – 9 = 0 ?

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Q: The diagram shows a vertical flagpole XW standing on a horizontal ground, with W, Y, and Z as points…

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Q: 4- Find the direction and direction from the point (1, 3) for which the values off do not change,…

A: 4)Given isfx,y=e2y arc tan3y3x at point 1,3A function  fx,y has no change in any direction that is…

Q: Find the angle between two lines whose direction cosines are given by l + m + n = 0 and 1² + m² - n²…

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Q: Suppose the angle formed by the line y = 4x and the positive x-axis is 0. Find the tangent of 0. %3D…

A: The objective of the question is to find the tangent of angle that is formed by the line y=4x and x…

Q: Ex(7): Find the coordinate of the point which divides the line segment from 3 (2,-3) to (-1,4) in…

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Q: Suppose the angle formed by the line y = 8x and the positive x-axis is 0. Find the tangent of 0. >…

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Q: I. Find I = ždz where C is the line segment from 3 +i to 3 - 2i.

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Q: Solve AXYZ, given Y = 90°, XY = 12, and ZX = 61°. Make your angle measures correct to the nearest…

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Q: Find the acute angle between the lines y=2x+4 and y=3x+6.

A: Given lines are -  y= 2x+4  y= 3x+6

Q: FInd the value of k,if the angle between the straight lines 4x-y+7=0 and kx-5y-9=0 is 45o

A: Here by arranging the given equation to y=MX+c form     Y=4x+7 and      Y=Kx/5 -9/5  If Y=MX +c is…

Q: Q:: A. Find the angle between the palnes 3x-6y - 2z 15 and 2x +y-2z 5 then find the equation of the…

A: The given equation of the plane is: 3x-6y-2z=15  3x-6y-2z-15=0    ....12x+y-2z=5…

Q: Find the angle between the lines whose direction cosines are given by the equations 3L+3+5n=0 and…

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Q: Find the value of k,If the angle between the straight lines 4x-y-7=0 and kx-5y-9=0 is 45o

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Q: Find the equation of the bisectiors of the obtuse angle between the lines x + y – 5 = 0 and x – 7y…

A: x+y-5=0  .................(1)rewrite the given equation as:-x-y+5=0 x-7y+7=0   ............(2)

Q: x+2y=12 x-4y=4 what is the angle that lies between two lines and is closest to the y-axis?

A: Tantheta = |(a1b2- b1a2)/(a1a2+b1b2)|

Q: Two lines are given as follow: 1: r= 31 – 3j + 6k + a (5i + 10j – 8k), a e IR 12: r= 8i + 7j – 2k +…

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Q: Use the methods of chapter twelve to find the angle between the 3x lines y = * 3 and 5x – 2y = 10. 4

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Q: Find the angle between the lines represented by 2x2+xy-6y2+7y-2=0

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Q: Q.1 Prove that the equation x² - 5xy+4y² +x+2y-2=0 represent two straight lines. Also find their…

A: Since we are given with multiple number of question and our guideline is solve first question so…