Maths-
General
Easy
Question
Assertion : If a, b, c are distinct and x, y, z are not all zero given that ax + by + cz = 0, bx + cy + az = 0, cx + ay + bz = 0 then a + b + c
0
Reason : a2 + b2 + c2 > ab + bc + ca if a, b, c are distinct
- 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 (A) is false but (R) is true.
Related Questions to study
maths-
Assertion : If A is a skew symmetric of order 3 then its determinant should be zero.
Reason : If A is square matrix then det A = det
= det (–
)
Assertion : If A is a skew symmetric of order 3 then its determinant should be zero.
Reason : If A is square matrix then det A = det
= det (–
)
maths-General
maths-
Assertion : There are only finitely many 2 ×2 matrices which commute with the matrix 
Reason : If A is non-singular then it commutes with I, Adj A and A–1.
Assertion : There are only finitely many 2 ×2 matrices which commute with the matrix 
Reason : If A is non-singular then it commutes with I, Adj A and A–1.
maths-General
maths-
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
Let a matrix A =
& P =
Q = PAPT where PT is transpose of matrix P. Find PT Q2005 P is
maths-General
maths-
Let A =
& I =
and A–1 =
[A2 + cA + dI], find ordered pair (c, d) ?]
Let A =
& I =
and A–1 =
[A2 + cA + dI], find ordered pair (c, d) ?]
maths-General
maths-
= A & | A3 | = 125, then
is -
= A & | A3 | = 125, then
is -
maths-General
maths-
If A =
, B =
and A2 = B, then
If A =
, B =
and A2 = B, then
maths-General
Maths-
Let A be a square matrix all of whose entries are integers. Then which one of the following is true ?
Let A be a square matrix all of whose entries are integers. Then which one of the following is true ?
Maths-General
maths-
Let A =
If |A2| = 25, then |
| equals
Let A =
If |A2| = 25, then |
| equals
maths-General
Maths-
Let A =
and B =
, a, b
N. Then
Let A =
and B =
, a, b
N. Then
Maths-General
Maths-
If A and B are square matrices of size n × n such that A2 – B2 = (A – B) (A + B), then which of the following will be always true –
If A and B are square matrices of size n × n such that A2 – B2 = (A – B) (A + B), then which of the following will be always true –
Maths-General
Maths-
If A =
and I =
, then which one of the following holds for all n
1, by the principle of mathematical induction -
If A =
and I =
, then which one of the following holds for all n
1, by the principle of mathematical induction -
Maths-General
Maths-
If A2 – A + I = 0, then the inverse of A is
If A2 – A + I = 0, then the inverse of A is
Maths-General
Maths-
Let A =
and (10) B =
. If B is the inverse of matrix A, then
is
Let A =
and (10) B =
. If B is the inverse of matrix A, then
is
Maths-General
Maths-
Let A =
. The only correct statement about the matrix A is
Let A =
. The only correct statement about the matrix A is
Maths-General
chemistry-
Bleaching powder has the molecular formula:
Bleaching powder has the molecular formula:
chemistry-General