Direction: Read the following text and answer the following questions on the basis of the same:
P1 : x + 3y – z = 0 and P2 : y + 2z = 0 are two intersecting planes. P3 is a plane passing through the point (2, 1, –1) and through the line of intersection of P1 and P2.
Q. ______ is a point on P3.
Direction: Read the following text and answer the following questions on the basis of the same:
P1 : x + 3y – z = 0 and P2 : y + 2z = 0 are two intersecting planes. P3 is a plane passing through the point (2, 1, –1) and through the line of intersection of P1 and P2.
Q. Equation of P3 is _______.
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Direction: Read the following text and answer the following questions on the basis of the same:
P1 : x + 3y – z = 0 and P2 : y + 2z = 0 are two intersecting planes. P3 is a plane passing through the point (2, 1, –1) and through the line of intersection of P1 and P2.
Q. The angle between P1 and P2 is _______.
Direction: Read the following text and answer the following questions on the basis of the same:
P1 : x + 3y – z = 0 and P2 : y + 2z = 0 are two intersecting planes. P3 is a plane passing through the point (2, 1, –1) and through the line of intersection of P1 and P2.
Q. Equation of plane parallel to P3 and passing through (1, 2, 3) is _______.
Direction: Read the following text and answer the following questions on the basis of the same:
P1 : x + 3y – z = 0 and P2 : y + 2z = 0 are two intersecting planes. P3 is a plane passing through the point (2, 1, –1) and through the line of intersection of P1 and P2.
Q. Distance of P3 from origin is _______ units.
Direction: Read the following text and answer the following questions on the basis of the same:
A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, –1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.
Q. The coordinates of the foot of the perpendicular drawn from the top of the tower to the ground are
Direction: Read the following text and answer the following questions on the basis of the same:
A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, –1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.
Q. The height of the tower from the ground is
Direction: Read the following text and answer the following questions on the basis of the same:
A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, –1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.
Q. The equation of the plane passing through the points A, B and C is
Direction: Read the following text and answer the following questions on the basis of the same:
A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, –1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.
Q. The equation of the perpendicular line drawn from the top of the tower to the ground is
Direction: Read the following text and answer the following questions on the basis of the same:
A mobile tower stands at the top of a hill. Consider the surface on which the tower stands as a plane having points A(1, 0, 2), B(3, –1, 1) and C(1, 2, 1) on it. The mobile tower is tied with 3 cables from the points A, B and C such that it stands vertically on the ground. The top of the tower is at the point (2, 3, 1) as shown in the figure.
Q. The area of ΔABC is
Direction: Read the following text and answer the following questions on the basis of the same:
Consider the plane π1 : 2x – 3y + 4z + 9 = 0 and the point P(1, –2, 3). π1 is a plane parallel to π1 and containing the point P.
Q. The co-ordinates of A are _______.
Direction: Read the following text and answer the following questions on the basis of the same:
Consider the plane π1 : 2x – 3y + 4z + 9 = 0 and the point P(1, –2, 3). π1 is a plane parallel to π1 and containing the point P.
Q. Distance between π1 and π2 is _______ units.
Direction: Read the following text and answer the following questions on the basis of the same:
Consider the plane π1 : 2x – 3y + 4z + 9 = 0 and the point P(1, –2, 3). π1 is a plane parallel to π1 and containing the point P.
Q. Equation of π2 is _______.
Direction: Read the following text and answer the following questions on the basis of the same:
Consider the plane π1 : 2x – 3y + 4z + 9 = 0 and the point P(1, –2, 3). π1 is a plane parallel to π1 and containing the point P.
Q. A is the foot of perpendicular from π to π1. Equation of PA is _______.
Direction: Read the following text and answer the following questions on the basis of the same:
Consider the plane π1 : 2x – 3y + 4z + 9 = 0 and the point P(1, –2, 3). π1 is a plane parallel to π1 and containing the point P.
Q. The image of π on π1 is _______.
204 videos|288 docs|139 tests
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204 videos|288 docs|139 tests
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