WebbThe plane 2x–3y+6z–11=0 makes an angle sin–1(α) with the x-axis. Then the value of α is (a) 1 7 (b) 2 7 (c) 3 7 (d) 6 7 Q. Let L be the line of intersection of the planes 2x+3y+z=1 … WebbProve that the plane 2x-3y+6z=6 touches the conicoid 4x^2-9y^2+36z^2=36. Find the point of contact. Expert's answer Solution: Suppose that the plane 2x-3y+6z=6 2x−3y +6z = 6 touches the conicoid 4x^2-9y^2+36z^2=36 4x2 −9y2 +36z2 = 36 at some point M (x_0,y_0,z_0). M (x0,y0,z0). Then the plane equation can be written as follows:
Chapter 2: Line and Plane - shaalaa.com
WebbBrowning_.50-_9-1005-213-10d8—Ôd8—ÔBOOKMOBI %“ è X ° &Ý -[ 3Ð ;w AÖ I) Pè Y `Ä i0 qz y9 €: ‡" ö$– &ž,(¦Ð*®¤,¶ö.¿„0Ç02ÎI4Ö 6Ý“8äÍ:í òÿ>ú @ #B …D F èH ÔJ ¨L èN –„P ÑÈR ÷ÀT $`V 4 X C€Z aØ\ €Ü^ Š”` •8b ¡„d ¬ f ÅLh æ4j þ¬l !ln ;€p @tr \Üt r v }øx Šøz Ÿ¸ ½Œ~ ø€ Ñô‚ ò8„ ,† Ј XŠ 8Œ #¨Ž + 3è ... Webb2 mars 2024 · Question 11. The perpendicular distance of the plane 2x + 3y – z = k from the origin is ... {x+1}{2}=\frac{y-m}{3}=\frac{z-4}{6}\) lies in the plane 3x – 14y + 6z + 49 = 0, then the value of m is: (A ) 5 (B ) 3 ... Find the coordinates of the foot of the perpendicular drawn from the origin to the plane 2x + 3y + 6z = 49. Solution ... gothic chair rail
12.5E: Exercises for Section 12.5 - Mathematics LibreTexts
Webb17 feb. 2024 · Find the equation of the plane which bisects the pair of planes $2x-3y+6z+2=0$ and $2x+y-2z=4$ at acute angles. My try : The normal to the plane $2x … Webb8 aug. 2016 · = 6 cubic units the normal vector is ((2),(3),(1)) which points out in the direction of octant 1, so the volume in question is under the plane and in octant 1 we can re-write the plane as z(x,y)= 6 - 2x - 3y for z = 0 we have z= 0, x = 0 implies y = 2 z= 0, y = 0 implies x = 3 and - - x= 0, y = 0 implies z = 6 it's this: the volume we need is int_A z(x,y) dA … Webb9 dec. 2013 · 2x - 8y - 6z = -36 2nd-2x + 8y + 7z= 41 add them z = 5 sub into 1st x - 4y - 15 = -18 x - 4y = -3 x = 4y - 3 ... my answer was 57x-56y+8z-124=0 but it was wrong. Two planes leave an airport flying at the same rate.If the first plane flies 1.5 hours longer than the second plane and travels 2700 miles while the second plane travels ... child abduction tv shows