Maths-
General
Easy
Question
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
- If both (A) and (R) are true, and (R) is the correct explanation of (A).
- If both (A) and (R) are true but (R) is not the correct explanation of (A).
- If (A) is true but (R) is false.
- If (A) is false but (R) is true.
The correct answer is: If both (A) and (R) are true, and (R) is the correct explanation of (A).
Related Questions to study
Maths-
Assertion(A) : If then equation represent a straight line.
Reason(R) : If , then equation represent a straight line
Assertion(A) : If then equation represent a straight line.
Reason(R) : If , then equation represent a straight line
Maths-General
Maths-
Assertion(A) : Let and be three points such that and then OABC is a tetrahedron.
Reason(R) : Let and be three points such that are non-coplanar, then OABC is a tetrahedron, where O is the origin.
Assertion(A) : Let and be three points such that and then OABC is a tetrahedron.
Reason(R) : Let and be three points such that are non-coplanar, then OABC is a tetrahedron, where O is the origin.
Maths-General
Maths-
Assertion : If × = × , and ×= × then – is perpendicular to –.
Reason : If is perpendicular tothen .= 0
Assertion : If × = × , and ×= × then – is perpendicular to –.
Reason : If is perpendicular tothen .= 0
Maths-General
Maths-
Assertion : Vectors – 2+ + , –+and + –2 are coplanar for only two values of .
Reason : Three vectors , , are coplanar if .(× ) = .
Assertion : Vectors – 2+ + , –+and + –2 are coplanar for only two values of .
Reason : Three vectors , , are coplanar if .(× ) = .
Maths-General
Maths-
Assertion (A) : If vector and are linearly dependent, then vectors , , must be dependent.
Reason (R) : If vector and are linearly independent, then vectors , , must be linearly independent, where vector is non-zero.
Assertion (A) : If vector and are linearly dependent, then vectors , , must be dependent.
Reason (R) : If vector and are linearly independent, then vectors , , must be linearly independent, where vector is non-zero.
Maths-General
Maths-
Assertion: If in a ABC ; = – and = ; || ||, then the value of cos 2A + cos 2B + cos 2C is – 1.
Reason: If in ABC, C = 90º, then cos 2A + cos 2B + cos 2C = – 1.
Assertion: If in a ABC ; = – and = ; || ||, then the value of cos 2A + cos 2B + cos 2C is – 1.
Reason: If in ABC, C = 90º, then cos 2A + cos 2B + cos 2C = – 1.Maths-General
Maths-General
Maths-
If are noncoplanar vectors and .
Assertion : and are linearly dependent
Reason : is r to each of three .
If are noncoplanar vectors and .
Assertion : and are linearly dependent
Reason : is r to each of three .
Maths-General
Maths-
Let , , , , , denote the sides of a regular hexagon.
Assertion : × (+)
Reason : × = & ×=
Let , , , , , denote the sides of a regular hexagon.
Assertion : × (+)
Reason : × = & ×=
Maths-General
Maths-
Assertion : Let are position vectors of four points A, B, C & D and then points A, B, C and D are coplanar.
Reason : Three non-zero, linearly dependent co-initial vectors (¸ & ) are coplanar.
Assertion : Let are position vectors of four points A, B, C & D and then points A, B, C and D are coplanar.
Reason : Three non-zero, linearly dependent co-initial vectors (¸ & ) are coplanar.
Maths-General
Maths-
Assertion : A vector, directed along the internal bisector of the angle between the vector = 7– 4– 4 and = –2– + 2, with || = 5 is (–7+ 2).
Reason : The vector bisecting the angle of & is given by = .
Assertion : A vector, directed along the internal bisector of the angle between the vector = 7– 4– 4 and = –2– + 2, with || = 5 is (–7+ 2).
Reason : The vector bisecting the angle of & is given by = .
Maths-General
Maths-
If a, b, c are non-coplanar unit vectors such that a × (b × c) = , then the angle between a and b is -
If a, b, c are non-coplanar unit vectors such that a × (b × c) = , then the angle between a and b is -
Maths-General
Maths-
If then
If then
Maths-General
Maths-
If and are two unit vectors and is the angle between them, then
If and are two unit vectors and is the angle between them, then
Maths-General
Maths-
Which of the following is a true statement ?
Which of the following is a true statement ?
Maths-General
Maths-
Values of 'x' for which the angle between the vectors and is obtuse, are
Values of 'x' for which the angle between the vectors and is obtuse, are
Maths-General