Tamil Nadu Board - Class 9

Secondary Mathematics question bank (Mathematics (NTSE Foundation))

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Q1.

Coordinate Geometry: What is the area of a triangle formed by three vertices in 'Set Language (Union, Intersection, Venn Diagrams)'?

(A)

$\text{Area} = \frac{1}{2}|(x_1(y_2-y_3) + x_2(y_3-y_1) + x_3(y_1-y_2))|$ (Set Language (Union, Intersection, Venn Diagrams))

(B)

Sum of coordinates

(C)

Area cannot be calculated

(D)

None of these

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Q2.

Trigonometric Heights & Distances: In 'Set Language (Union, Intersection, Venn Diagrams)', which trigonometric ratio connects height and shadow length?

(A)

$\tan\theta = \frac{\text{Opposite}}{\text{Adjacent}}$ with angle of elevation $\theta$ (Set Language (Union, Intersection, Venn Diagrams))

(B)

$\cos\theta$ only

(C)

Shadow length is constant

(D)

None of these

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