5. At point A(-1,-1), draw two tangents to P:y²-x+4y+6=0. Find the acute angle formed by these lines.

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

A:

Q: parallel (à), and to tke line that makes an angle of tar6) with angle of (x13) with (j). an

A:

Q: the two lines are parallel to each other

A:

Q: Find the equation of the line passing through the point 4(2,3) and making en angle of 45° with the…

A: The equation of a line passing through A and making an angle of 45\degree with the x-axis isx-2cos…

Q: 4) The values that U takes depends on the values that are taken by C and P. Specifically, U(C,P)=CX…

A:

Q: Find the angle between the lines whose direction cosines are given by 1+m+n=0 and 2/²+2m²-n² = 0.

A:

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

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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+7=0

A: Given that, x+y-5=0   .................(1) x-7y+7=0   ..............(2) equation (1) can be written…

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

A: Concept: The function f(x) at the point x=a, is a line that just touches the graph of the function…

Q: b, = (2/5) and b,= (5/8), and 0 be the xy ух acute angle between the lines, then tan 0 is : (A) 20/4…

A:

Q: a) Given that straight line y + x=2 is tangent to the curve y =x² – 6x + q. Find value q.

A: Given,  y+x=2⇒y=-x+2

Q: . Find the angle between the two tangents from the origin to the circle…

A: (a) Any line through (0,0) is y-mx=0. It is a tangent to the circle (x-7)2+(y+1)2=25…

Q: [a] Find the shortest distance from the point (2, -1, 4) to the straight line x = 2, y = 3+tand z =…

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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: Find either angle between the lines described by the following: 3 y = -x + 2 and –3x – y – 4 = 0 4

A: The slope-intercept form of a line is y=mx+b, where m is the slope.  Let two lines be y=m1x+c1 and…

Q: Geometry Question

A:

Q: Find the acute angle between 3x – 2y + 7 = 0 and 2y + 4x – 3 = 0 (to nearest degree).

A: Given, 3x-2y+7=0      .....12y+4x-3=0      .....2

Q: Q: Find the angle between the lines whose direction cosines satisfy the equations 1+m +n =0,12 + m²…

A:

Q: Find the values of p so that line 1-x_7y-14 z-3 = 2p 2 3 and 7-7x_y-5_ = 3p y75 = 6 1 -5 6-z 5 are…

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Q: Compute yds where C is the line segment from (1, 2) to (4, 7).

A: We know that,       . Now,