1) 0
9.
(2+√3)² + (2-√3)² = k16
-(2-13)" = kto , then k is less than
3) 4
2)3
1) 1
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Answer:
Step-by-step explanation:
As these three points are collinear, the area formed by a triangle formed by joining these three points will be 0.
∴∣∣∣∣∣−2−1cosθ013√sinθ111∣∣∣∣∣=0
⇒−2(13–√−sinθ)+1(−sinθ−cosθ3–√)=0
⇒2sinθ−sinθ−cosθ3–√=23–√
⇒sinθ−cosθ3–√=23–√
⇒3–√2sinθ−12cosθ=1
⇒cos(π6)sinθ−sin(π6)cosθ=sin(π2)
⇒sin(θ−π6)=sin(π2)
⇒θ−π6=π2
⇒θ=π2+π6=4π6=2π3
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