1. What is the point where the graph of the line 5x – 4y + 20 = 0 cuts the X-axis on an X-Y coordinate plane?
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Correct answer is option - 1
Explanation:
The point where the graph of a function cuts the X-axis is called the x-intercept.
Since the value of ‘y’ on the X-axis is 0, hence in order to find this point we should plug-in y = 0.
This implies: 5x – 4(0) + 20 = 0 ==> Now solve for ‘x’.
5x + 20 = 0 ==> 5x = -20 which gives: x = -20/5 = -4.
Hence the coordinate point is (-4, 0).
2. The diagonal length, BDof the square ABCD is given to be 24cm as shown in the figure below. What is the area of this square?
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Correct answer is option - 4
3. If the function, f(x) = x^{2} – 2, then the inverse function of this function is?
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Correct answer is option - 5
4. If (27)^{5 x–4} = (9)^{2 x + 5}, then the value of x is?
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Correct answer is option - 3
5. Width of a rectangle is one-fifth the length of a rectangle. If the area of this rectangle is 80 m^{2}, then the width of the rectangle is?
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Correct answer is option - 5
6. From the external point P, two tangents, PS and PT are drawn to the circle of lengths as shown in the figure below. What is the length of the tangent PT?
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Correct answer is option - 2
Explanation:
When tangents are drawn from an external point to a circle, then the lengths of the tangents are equal to each other.
This gives: length PT = length PS.
This implies: 6x – 7 = x + 3 ==> Now solve for x.
6x – x = 7 + 3 ==> 5x = 10.
This gives: x = 10/5 ==> x = 2.
Therefore the length PT = 6x – 7 ==> 6*2 – 7 = 12 – 7 ==> PT = 5m.
7. What is the equivalent expression of the expression,4(√5–1)/(√5+1?
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Correct answer is option - 3