Tanθ is positive and Sinθ is negative. In which quadrant does θ lies
Second only
Third only
Fourth only
First and third only
Correct answer is B
First quadrant: Sin, Cos and Tan are all positive Second quadrant: Sin is positive, Cos is negative and Tan is negative Third quadrant: Tan is positive, Sin is negative and Cos is negative Fourth quadrant: Cos is positive, Sin is negative and Tan is negative The correct option is the third quadrant only where Tanθ is positive and Sinθ is negative
-1 112
-1
1
5
Correct answer is D
log2 8 – log3 19
= log 2 23 – log3 9−1
= log2 23 – log3 3−2
Based on law of logarithm
= 3 log2 2 – (-2 log3 3)
But log2 2 = 1,
log3 3 = 1
So, = 3 + 2
= 5
Use the quadratic equation curve to answer this questions
What is the minimum value of the graph?
-5.3
0.5
3
8
Correct answer is A
The minimum value is the lowest value of the curve on y axis which gives a value of -5.3
Find the equation of the tangent at the point (2, 0) to the curve y = x2 - 2x
y = 2x - 4
y = 2x + 4
y = 2x - 2
y = 2x + 2
Correct answer is A
The gradient to the curve is found by differentiating the curve equation with respect to x
So dydx 2x - 2
The gradient of the curve is the same with that of the tangent.
At point (2, 0) dydx = 2(2) - 2
= 4 – 2 = 2
The equation of the tangent is given by (y - y1) dydx (x – x1)
At point (x1, y1) = (2, 0)
y - 0 = 2(x - 2)
y = 2x - 4
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