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  1. The Cartesian equation of a plane in normal form is. lx + my + nz = d. where l, m, n are the direction cosines of the unit vector parallel to the normal to the plane; (x,y,z) are the coordinates of the point on a plane and, ‘d’ is the distance of the plane from the origin. You can now follow a worked out problem as shown below to understand ...

  2. cartesian plane. Plot the points E (4, 2), I (0, 2), L (−1, 3) and N (2, 0) on the Cartesian plane. Join these points in order and name the shape thus obtained.

  3. So The number of solution $$(s)$$ of the equation $$2x + 1 = x - 3$$ which are on the Cartesian plane are infinitely many solutions. Was this answer helpful? 42

  4. Give the geometric representations of the following equations (a) on the number line (b) on the Cartesian plane:

  5. Step 1: Plot points on a Cartesian plane by looking at x and y coordinate of the point.

  6. Vector Form. We shall consider two skew lines, say l 1 and l­ 2 and we are to calculate the distance between them. The equations of the lines are: r 1 = a 1 + t.b 1. r 2 = a 2 + t.b 2. P = a 1 is a point on line l 1 and Q = a 2 is a point on line l 1. The vectro from P to Q will be a 2– a 1.

  7. (ii) the Cartesian plane. View Solution. Q3. Solve the equation 2 x + 1 = x ...

  8. Question 1 In which quadrant or on which axis do each of the points (-2,4), (3, -1), (-1, 0), (1, 2) and (-3, -5) lie?

  9. On the Cartesian plane, P Q R is a right-angled triangle. The coordinates of P are. View Solution. Q5.

  10. In the cartesian plane the point lies at x − axis ∴ the y − co-ordinate is 0. Thus the point ( − 4 , 0 ) lies at negative x − axis. Was this answer helpful?