Show that one of the lines givenby 6x² - xy - 12y² = 0 coincides with one of %3D the lines givenby 15x? +14xy - 8y? = 0 and find the angle betweenthe other two.

Q: 5) Find the angle between the lines. y+2 %3D z-5 2x – 3 = y + 9 = 2z + 7 & x +1 = | 2 2.

A: Putting the value of drs of line , we can get angle

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

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Q: Find the angle between xy=3 and x²=9y

A: The given curves xy=3 y=3/x    ....(1) x²=9y   ....(2) Solve equation (1) and (2) x2=9×3xx=3y=x/3=1

Q: Show that the equation of the pair of lines bisecting the angle between the pair of bisectors of the…

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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: . Which of the following lines passes through the point (2, 5)? y = 2z – 1 y = 2z +1 y = 4z -2 y =…

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Q: Find the acute angle between the lines x + 2y = 7 and 5x – y = 2. %3D

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

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

Q: 2. At what point on the line y =b does the line segment from (0,0) to ( a,0) subtend the greatest…

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Q: Find the distance from the point (2, 1, –1) to the line z = 2+ 2t, y = 1+ 6t, z = 3. Lütfen birini…

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Q: Find the angle from the line 9y – 5x + 23 = 0 to the vertical line 6 units from the y – axis. Angles…

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Q: Find the acute angle between the lines: 2x+3y =-12, x+ 2y =-6

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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.

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Q: A man is flying in a hot-air balloon in a straight line at a constant rate of 4 feet per second,…

A: The rate of flying is 4 ft/sec. The toal time is 1.5 minutes, i.e. 90 second. The distance covered…

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: write down the equation of the pair of straight lines joining the origin to the points of…

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Q: Find the angle between the line given by ⟨x, y, z⟩ = ⟨2t, 3t, t⟩ and the y-axis exactly.

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Q: find the angle between the straight line  3x+4y=12, 3x-4y=7

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Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: For first line L1, the line passes via origin, i.e., 000 and the line is parallel to u=110, so, the…

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: Find the angle of inclination of the line y-x 1

A: As per the company guidelines we are supposed to solve first question only. Kindly post the other…

Q: Find the acute angles between the intersecting lines x = 2 + t, y = 4t + 2, z = 1 + t and x = 3t -…

A: Given: The equation of lines x = 2 + t,  y = 4t + 2,    z = 1 + t      and x = 3t - 2,   y = -2,   z…

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 line 3x+4y=12,3x-4y=7

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Q: Find the distance between the following paris of parallel straight lines  9x2-6xy+y2+18x-6y+8=0…

A: To the distance between the following pairs of parallel straight lines  The given pair of line…

Q: 4. The tangent of the acute angle between the lines y= 4x- 3 and y=x-5 is А. 5 В. C. 3 D. 5

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Q: Suppose L, is the line through the origin in the direction of u and L2 is the line through the point…

A: We are given two lines L1 and L2 in 3d, and we have to find the closest points x1 , x2 such that the…

Q: Find the equation of bisector of the acute angle between the lines 3x – 4x + 7=0 and 12x + 5y – 2 =…

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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: Find the angle between the straight line represented by  2x2+5xy+2y2-5x-7y+3=0

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Q: 2)What line is perpendicular to 2x + y = 3 at (1,1)?

A: What line is perpendicular to 2x+y=3 at (1,1)?

Q: Show that the two lines X= 2+ St J= 4 - 36 Z: 5+t X= 1+4t and y= 5-4t Z: -1+ SE skew Rind the…

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Q: The equation of a line perpendicular to 4x+7y– 63 =0 is Oy- z 6 Oy--- I. Oy =z+

A: See the details solution in below

Q: The lines joining the origin to the point of intersection of the line lx+my=1 and y²=4ax are at…

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Q: Find the acute angle between the lines 7x - 4y = 0 and 3x - 11y + 5 = 0.

A: This question is based on straight line.

Q: Suppose ABC is reflected across the line x = -1. What are the coordinates for the image of A?

A: There is no change in y coordinates while taking mirror image across x = k.

Q: Find the distance between lines x + 3y = 5 and x + 3y = 25.

A: The distance between two parallel lines can be calculated using the formula,

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: For what values of a and b is the line 4x+y=b4x+y=b tangent to the curve y=ax3y=ax3 when x=5x=5? a=…

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

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Q: Find the angle of inclination of the line y -x = 1

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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…

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