Condition for a Line to Lie in a Plane
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Q. The plane containing the line x−32=y+2−1=z−13 and also containing its projection on the plane 2x+3y−z=5, contains which one of the following points ?
- (2, 2, 0)
- (0, −2, 2)
- (2, 0, −2)
- (−2, 2, 2)
Q. The intercept made by the plane →r.→n=q on the x-axis is
- (^i.→n)q
- q|→n|
- q^i.→n
- ^i.→nq
Q. ABCD is a tetrahedron and O is any point. If the line joining O to the vertices meets the opposite faces at P, Q, R and S, then the value of
OPAP+OQBQ+ORCR+OSDS is
OPAP+OQBQ+ORCR+OSDS is
Q. The feasible region of an LPP is shown in the figure.
If Z=5x+2y, then the maximum value of Z occurs at
(a) (0, 0) (b) (5, 0)
(c) (2, 4) (d) (0, 4)
(a) (0, 0) (b) (5, 0)
(c) (2, 4) (d) (0, 4)
Q. The intercept made by the plane →r.→n=q on the x-axis is
- q^i.→n
- ^i.→nq
- (^i.→n)q
- q∣∣→n∣∣
Q. The feasible region of an LPP is shown in the figure. If z=3x+9y, then the minimum value of z occurs at
![](https://search-static.byjusweb.com/question-images/byjus/infinitestudent-images/ckeditor_assets/pictures/456963/original_lpp.PNG)
- (5, 5)
- (0, 10)
- (0, 20)
- (15, 15)
Q. The plane containing the line x−32=y+2−1=z−13 and also containing its projection on the plane 2x+3y−z=5, contains which one of the following points ?
- (0, −2, 2)
- (2, 0, −2)
- (2, 2, 0)
- (−2, 2, 2)
Q. The intercept made by the plane →r.→n=q on the x-axis is
- q^i.→n
- ^i.→nq
- (^i.→n)q
- q∣∣→n∣∣