Mathematics
Assertion (A) : The point (-2, 8) is invariant under reflection in line x = -2
Reason (R) : If a point has its x-coordinate 0, it is invariant under reflection in both axes.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
Both A and R are true.
Answer
Point (-2, 8) lies on the line x = -2.
The point which lies on a line is invariant under reflection in the same line.
∴ (-2, 8) is invariant under reflection in line x = -2.
∴ Assertion (A) is true.
If a point has x-coordinate equal to 0 it means it lies on y-axis.
∴ It will be invariant under reflection in y-axis.
∴ Reason (R) is false.
Hence, Option 3 is the correct option.
Related Questions
Ankit has the option of investing in company A, where 7%, ₹ 100 shares are available at ₹ 120 or in company B, where 8%, ₹ 1000 shares are available at ₹ 1620.
Assertion (A) : Investment in Company A is better than Company B.
Reason (R) : The rate of income in Company A is better than in Company B.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is false, but R is true.
Both A and R are false.
Assertion (A) : x3 + 2x2 - x - 2 is a polynomial of degree 3.
Reason (R) : x + 2 is a factor of the polynomial.
Both A and R are correct, and R is the correct explanation for A.
Both A and R are correct, and R is not the correct explanation for A.
A is true, but R is false.
Both A and R are true.
When a die is cast with numbering on its faces, as shown, the ratio of the probability of getting a composite number to the probability of getting a prime number is …………… .
2 : 3
3 : 2
1 : 3
1 : 2
