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The three planes 4y+6z=5,2x+3y+5z=5 and ...

The three planes `4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10` (a) meet in a point (b) have a line in common (c) form a triangular prism (d) none of these

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Consider three planes : 2x+py+6z=8, x+2y+qz=5 and x+y+3z=4 Q. Three planes do not have any common point of intersection if :

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CENGAGE ENGLISH-THREE DIMENSIONAL GEOMETRY-All Questions
  1. The line through hat i+3 hat j+2 hat k and | to the line vec r=( hat...

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  2. The equation of the plane through the line of intersection of the plan...

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  3. The three planes 4y+6z=5,2x+3y+5z=5 and 6x+5y+9z=10 (a) meet in a poi...

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  4. Given vec alpha=3hati+hatj+2hatk and vec beta=hati-2hatj-4hatk are the...

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  5. Find the following are equations for the plane passing through the p...

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  6. The shortest distance between the lines (x-3)/(3)=(y-8)/(-1)=(z-3)/(1)...

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  7. L1a n dL2 and two lines whose vector equations are L1: vec r=lambda((c...

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  8. Value of lambda such that the line (x-1)/2=(y-1)/3=(z-1)/lambda is | t...

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  9. Equation of the plane passing through the points (2,2,1)a n d(9,3,6)...

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  10. The equation of a plane which passes through the point of intersection...

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  11. If the foot of the perpendicular from the origin to plane is P(a ,b ...

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  12. Equation of a line in the plane pi =2x-y+z-4=0 which is perpendicular...

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  13. The intercept made by the plane vec r . vec n=q on the x-axis is a. q...

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  14. The coordinates o the foot of the perpendicular drawn from the orig...

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  15. The point on the line (x-2)/1=(y+3)/(-2)=(z+5)/(-2) at a distance of 6...

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  16. Let A(1,1,1),B(2,3,5)a n dC(-1,0,2) be three points, then equation of...

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  17. Let A( vec a)a n dB( vec b) be points on two skew lines vec r= vec a+...

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  18. Consider three planes P1 : x-y + z = 1, P2 : x + y-z=-1 and P3 : x-3y ...

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  19. Consider the planes 3x-6y-2z-15 =0 and 2x+y-2z - 5=0 Statement 1:The ...

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  20. The length of projection of the line segment joining the points (1,0,-...

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