Find the acute angle between the lines 2x + y = 4 and -3x...
Find the acute angle between the lines 2x + y = 4 and -3x + y + 7 = 0.
40°
44°
45°
54°
Correct answer is C
2x+y=4≡y=4−2x⟹m1=−2
−3x+y+7=0≡y=−7+3x⟹m2=3
tanθ=m1−m21−m1m2=−2−31−(−2)(3)=−5−5=1
\tan \theta = 1 \implies \theta = 45°
Which of these inequalities is represented by the shaded portion of the graph? ...
The fourth term of a geometric sequence is 2 and the sixth term is 8. Find the common ratio. ...
What is the angle between a = (3i - 4j) and b = (6i + 4j)?...
Find the value of the derivative of y = 3x^2 (2x +1) with respect to x at the point x = 2. ...
The marks scored by 4 students in Mathematics and Physics are ranked as shown in the table below ...
Two vectors m and n are defined by m = 3i + 4j and n = 2i - j. Find the angle between m and ...
Find the nth term of the linear sequence (A.P) (5y + 1), ( 2y + 1), (1- y),... ...
Evaluate \log_{10}(\frac{1}{3} + \frac{1}{4}) + 2\log_{10} 2 + \log_{10} (\frac{3}{7})...