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Mathematics

l and m are two lines in the figure given below:

l and m are two lines in the figure given below. Equation of a Straight Line, ML Aggarwal Understanding Mathematics Solutions ICSE Class 10.

Assertion (A): They have equal y-intercept.

Reason (R): Their inclination is same.

  1. Assertion (A) is true, Reason (R) is false.

  2. Assertion (A) is false, Reason (R) is true.

  3. Both Assertion (A) and Reason (R) are correct, and Reason (R) is the correct reason for Assertion (A).

  4. Both Assertion (A) and Reason (R) are correct, and Reason (R) is incorrect reason for Assertion (A).

Straight Line Eq

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Answer

Both lines intersect at the same point on the y-axis. So, they have the same y-intercept.

So, assertion (A) is true.

Given,

x-intercept are equal but they are of different signs (one is positive, one is negative).

tan θ = yx\dfrac{y}{x}

So, the inclination of both the lines will be of opposite signs.

So, reason (R) is false.

Thus, Assertion (A) is true, but Reason (R) is false.

Hence, option 1 is the correct option.

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