P be a point belonging to the line of equation: r:{2x−y−2=0 x+z−2=0 Knowing that the distance from P to the plane π:3x+4y+5=0 is equal to 7, mark the alternative that contains the sum of the coordinates of P. a. -77/11 b. -76/11 c. -64/11 d. -83/11 e. 69/11

Q: Show that the lines having the equations 4x – 3y + 12 = 0 and 8x – 6y + 15 = 0 are parallel.

A: According to question,Given equation of lines,4x - 3y +12 = 08x - 6y +15 =0

Q: If C is the line segment connecting the point (a1, b1) to the point (a2, b2), show that 3r dy – 3y…

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Q: X 59° 17

A: We can find the value of 'x' in the below steps.

Q: 9. Find the equation for the plane through Po(-2,3,9) perpendicular to the line x = -2 – t, y = -3 +…

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Q: P(-2,0, 3) perpendicular to the line x = 1 – t, y = 2 + 2t, z = 3+ 4t is 6. اخترأحد الخيارات x + 2y…

A: Let me discuss this problem in step 2:

Q: Find the intersection of the following geometric objects: the plane 3x + 2y - z = -9 and the line…

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Q: A square field is 10 meter in length find the area and perimeter of the field

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Q: Find the distance (d) from the point (- 4, 8, 4) to the plane 2x + 5y + 4z = - 50. d =

A: image is attached

Q: Determine the equation of the plane that contains the lines Li and L2. L: x = 3- t, L2: x = 8 +2 s,…

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Q: 11₁ X 4y -6x + 2y = 0, - 6x + 2y = 2, x - 4y = 1, x - 4y = 6 Find S -6x + 2y -dA, where R is the…

A: The Region R is given as , -6x+2y=0 , -6x+2y=2 , x-4y=1 , x-4y=6 find ∫∫R-6x+2yx-4ydA=?

Q: The equation of the plane which is parallel to y -axis and cuts off intercepts of length 2 and 3…

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Q: C. Find the equation of the plane passing thru P;(-1,2, –3) and perpendicular to the line through…

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Q: A ship on the horizon at point A sees a lighthouse on a hill. The distance from the ship to the to…

A: Given,

Q: Find an equation for the line of intersection of the planes bx+z=0, by+ cz =b, where b,c are real…

A: the equation of the line of intersection pf the given planes ...

Q: Q2. Find the equation of the line that passes through the point (-3,2,-1) and parallel to the line…

A: Given point is (-3,2,-1). And the planes are,

Q: Which of the lines x – y + 3 = 0 and x – 4y –7= 0 is father from the origin? -

A: Consider the provided question, Hello. Since your question has multiple parts, we will solve first…

Q: 5x - 7y + 5z = -52 and 6x - 2y + 2z = -4.

A:

Q: Find an equation for the set of points equidistant from the y-axis and the plane z = 6.

A: we  have to find an  equation for the set of points equidistant from the y-axis and the plane z =…