SNP MATH

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A cylinder cuts the plane in the curve .. has its axis parallel to 3𝑥=-6𝑦 = 2𝑧. Find its equation.

Find equation to the enveloping cylinder of the sphere generators parallel to the line.

Find the angle between the lines 𝑥 + 𝑦 + 2𝑧 − 3 = 0 = 2𝑥 + 𝑦 + 𝑧 + 1 and(𝑥−1)2=𝑦1=(𝑧−3)(−1) .

Find the angle between the line (𝑥−1)2=𝑦2=(𝑧−3)1 and the plane 3𝑥 + 2𝑦 − 6𝑧 = 4.

Find the point where the line passing thr' (0, −1, 2) and direction ratios 2, −1, 3 meets the plane

Find the equation of the plane through the origin and containing the line

Find the equation to a plane through the line and parallel toanother line with direction cosines.

Find the equation to a plane passing through the line and through the point.

Find the length of the perpendicular from the point (1,2,3) on the line (𝑥−6)3=(𝑦−7)2=(𝑧−7)(−2).

Find symmetrical form and equation to a plane through (2,1,4) and perpendicular to the given line.

Equation of the line through the point (1,2,3) parallel to the line 𝑥 − 𝑦 + 2𝑧 = 5, 3𝑥 + 𝑦 + 𝑧 = 6.

Equations of the line of intersection of the planes in the symmetric form.

Find the co-ordinates of the point of intersection of the line the plane 3𝑥+4𝑦+5𝑧=5.

Find the equations of line passing through a given point and having direction cosines 𝑙, 𝑚, 𝑛.

Prove that the spheres 𝑥^2+𝑦^2+𝑧^2+6𝑦+2𝑧+8=0 and𝑥^2+𝑦^2+𝑧^2+6𝑥+8𝑦+4𝑧+20=0 are orthogonal

Derive the condition of orthogonality of two spheres.

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Find the equation of cylinder whose generators are parallel to the line 𝒚=𝒎𝒙, 𝒛=𝒏𝒙 which intersect..

Find the equation of cylinder whose generators h𝐚𝐯𝐞 𝐝𝐢𝐫𝐞𝐜𝐭𝐢𝐨𝐧 𝐫𝐚𝐭𝐢𝐨𝐬 (𝟏,−𝟐,𝟑) whose guiding curve

Find the equation of cylinder whose generators are parallel to the axis of z and intersect the curve

Equation of cylinder whose generators intersect the guiding plane curve and parallel to the line

Find the equation of cylinder whose generators are parallel to the line .. and which pass through .

Line Integral When Path is independent

Solve y_(x+2)-4y_(x+1)+4y_x=3x+2^x

Solve u_(x+2)-5u_(x+1)+6u_x=36.

Solve 𝑦_(𝑥+2)−4𝑦_(𝑥+1)+3𝑦_𝑥=3^𝑥 +1​

Solve the non-homogeneous linear difference equation 𝛥𝑦_𝑥+𝛥^2 𝑦_𝑥=𝑠𝑖𝑛𝑥

Solve the following difference equations (a) 𝑦_(𝑥+1)−3𝑦_𝑥=1 (b) 𝑦_(𝑥+1)−3𝑦_𝑥=0, 𝑦_0=2

Solve the following non-homogeneous linear difference equation 𝑦_(𝑥+2)−4𝑦_𝑥=9𝑥^2

Solve 𝑦_(𝑥+2)−4𝑦_(𝑥+1)+3𝑦_𝑥=3^𝑥 +1