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Mathematics: CUET Mock Test - 3 - Question 1

Bag 1 contains 4 white and 6 black balls while another Bag 2 contains 4 white and 3 black balls. One ball is drawn at random from one of the bags and it is found to be black. Find the probability that it was drawn from Bag 1.

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Mathematics: CUET Mock Test - 3 - Question 3

Previous probabilities in Bayes Theorem that are changed with the new available information are called _____

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Mathematics: CUET Mock Test - 3 - Question 4

Bag 1 contains 3 red and 5 black balls while another Bag 2 contains 4 red and 6 black balls. One ball is drawn at random from one of the bags and it is found to be red. Find the probability that it is drawn from bag 2.

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Mathematics: CUET Mock Test - 3 - Question 5

_____ is the complement of the angle between the line L and a normal line to the plane π.

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Mathematics: CUET Mock Test - 3 - Question 6

Find the angle between the planes x + 2y + 3z + 1 = 0 and (4, 1, -7).

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Mathematics: CUET Mock Test - 3 - Question 7

What is the plane equation involved in the formula sinθ =?

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Mathematics: CUET Mock Test - 3 - Question 8

What is the relation between the plane ax + by + cz + d = 0 and a_{1}, b_{1}, c_{1} the direction ratios of a line, if the plane and line are parallel to each other?

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Mathematics: CUET Mock Test - 3 - Question 9

The condition a_{1}a + b_{1}b + c_{1}c = 0 is for a plane and a line are _____ to each other.

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Mathematics: CUET Mock Test - 3 - Question 10

Find the angle between 2x + 3y – 2z + 4 = 0 and (2, 1, 1).

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Mathematics: CUET Mock Test - 3 - Question 11

The plane 5x + y + kz + 1 = 0 and directional ratios of a line (3, -1, 1) are parallel, find k.

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Mathematics: CUET Mock Test - 3 - Question 12

Find k for the given plane x + 2y + kz + 2 = 0 and directional ratios of a line (8, 3, 2), if they are parallel to each other.

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Mathematics: CUET Mock Test - 3 - Question 13

If θ is the angle between line whose ratios are a1, b1, c1 and the plane ax + by + cz + d = 0 then

cos θ =

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Mathematics: CUET Mock Test - 3 - Question 14

Which trigonometric function is used to find the angle between a line and a plane?

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Mathematics: CUET Mock Test - 3 - Question 15

A plane and a line having an angle of 90 degrees between them are called _____

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Mathematics: CUET Mock Test - 3 - Question 16

The condition a/a1 = b/b1 = c/c1 is for a plane and a line are _____ to each other.

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Mathematics: CUET Mock Test - 3 - Question 17

Find the angle between x + 2y + 7z + 2 = 0 and (2, 4, 6).

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Mathematics: CUET Mock Test - 3 - Question 18

Find the angle between the planes 5x + 2y + 3z + 1 = 0 and (1, 1, -2).

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Mathematics: CUET Mock Test - 3 - Question 19

_____ is the angle between the normals to two planes.

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Mathematics: CUET Mock Test - 3 - Question 20

What is the formula to find the angle between the planes a_{1}x + b_{1}y + c_{1}z + d_{1} = 0 and a_{2}x + b_{2}y + c_{2}z + d_{2} = 0?

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Mathematics: CUET Mock Test - 3 - Question 21

Find s for the given planes 2x + 2y + sz + 2 = 0 and 3x + y + z – 2 = 0, if they are perpendicular to each other.

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Mathematics: CUET Mock Test - 3 - Question 22

What is the relation between the planes a_{1}x + b_{1}y + c_{1}z + d_{1} = 0 and a_{2}x + b_{2}y + c2_{1}z + d_{2} = 0, if their normal are perpendicular to each other?

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Mathematics: CUET Mock Test - 3 - Question 23

The planes 5x + y + 3z + 1 = 0 and x + y – kz + 6 = 0 are orthogonal, find k.

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Mathematics: CUET Mock Test - 3 - Question 24

Find k for the given planes x + 2y + kz + 2 = 0 and 3x + 4y – z + 2 = 0, if they are perpendicular to each other.

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Mathematics: CUET Mock Test - 3 - Question 25

Which of the following is not the correct formula for representing a plane?

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Mathematics: CUET Mock Test - 3 - Question 26

Find the vector equation of the plane which is at a distance of 7/√38 from the origin and the normal vector from origin is ?

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Mathematics: CUET Mock Test - 3 - Question 28

Find the distance of the plane 3x + 4y - 5z - 7=0.

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Mathematics: CUET Mock Test - 3 - Question 29

Find the equation of the plane passing through the three points (2,2,0), (1,2,1), (-1,2,-2).

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Mathematics: CUET Mock Test - 3 - Question 30

Find the Cartesian equation of the plane passing through the point (3,2,-3) and the normal to the plane is ?

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