Learn in your speed, with individual attention - Teachoo Maths 1-on-1 Class

Examples

Example 1 (a)

Example 1 (b)

Example 1 (c) Important

Example 1 (d)

Example 2 Important You are here

Example 3 Important

Example 4 Important

Example 5

Example 6

Example 7 (i)

Example 7 (ii) Important

Example 8

Example 9 Important

Example 10

Example 11

Example 12 Important

Example 13 Important

Example 14

Example 15 Important

Example 16 Important

Question 1 Deleted for CBSE Board 2024 Exams

Question 2 Deleted for CBSE Board 2024 Exams

Question 3 Deleted for CBSE Board 2024 Exams

Question 4 Deleted for CBSE Board 2024 Exams

Question 5 Important Deleted for CBSE Board 2024 Exams

Question 6 Important Deleted for CBSE Board 2024 Exams

Question 7 Important Deleted for CBSE Board 2024 Exams

Question 8 Deleted for CBSE Board 2024 Exams

Question 9 Deleted for CBSE Board 2024 Exams

Last updated at May 29, 2023 by Teachoo

Example 2 If the angle between two lines is 𝜋/4 and slope of one of the lines is 1/2, find the slope of the other line. We know that angle between two lines are tan θ = |(𝑚2 − 𝑚1)/(1 + 𝑚1𝑚2)| Putting θ = 𝜋/4 = 180/4 = 45° Let m1 and m2 be the slope of 2 lines So, m1 = 1/2 We need to find slope of 2nd line i.e. m2 Putting values in formula tan θ = |(𝑚2 − 𝑚1)/(1 + 𝑚1𝑚2)| tan 45° = |(𝑚2 − 1/2)/(1 + 1/2 𝑚2)| 1 = |((2𝑚_2 − 1)/2)/((2 + 𝑚_2)/2)| 1 = |(2𝑚2 − 1)/(2 + 𝑚2)| |(2𝑚2 − 1)/(2 + 𝑚2)|= 1 So, (2𝑚2 − 1)/(2 + 𝑚2) = 1 & (2𝑚2 − 1)/(2 + 𝑚2) = –1 Therefore m2 = 3 or m2 = (−1)/3 . Hence, Slope of the other line is 3 or (−𝟏)/𝟑 (𝟐𝒎𝟐 − 𝟏)/(𝟐 + 𝒎𝟐) = 1 2m2 – 1 = (2 + m2) 2m2 – m2 = 2 + 1 m2 = 3 (𝟐𝒎𝟐 − 𝟏)/(𝟐 + 𝒎𝟐) = –1 2m2 – 1 = –(2 + m2) 2m2 – 1 = –2 – m2 2m2 + m2 = –2 + 1 3m2 = –1 m2 = (−1)/3