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Browse complete papersSimplified form of \( \frac{3\sqrt{15} \times 2\sqrt{5}}{5\sqrt{3}} \) is
6
\( \sqrt{15} \)
\( \sqrt{105} \)
None of these
Correct answer
6
If \( 7x + 5(2 - x) + 10 = 4x - 6 \), then the value of x is
-13
13
10
5
Correct answer
-13
The equation of the line shown in the graph is
x = 2
xy = 2
y = 0
y = 2
Correct answer
x = 2
The graph of the line \( x + y = 2 \) is
None of these
Correct answer
The point of intersection of 3 medians of a triangle is known as
Orthocentre
Circumcentre
Incentre
Centroid
Correct answer
Orthocentre
If the side length of an equilateral triangle is 12 cm, then the area of the triangle is
\( 18\sqrt{3} \) cm²
36 cm²
\( 36\sqrt{3} \) cm²
18 cm²
Correct answer
\( 18\sqrt{3} \) cm²
In similar triangles, the ratio of the corresponding sides are
Unequal
Equal
Always less than 1
Always more than 1
Correct answer
Unequal
In triangles ABC and PQR, \( \angle A = \angle Q, \angle B = \angle R \). Which side of \( \Delta PQR \) should be equal to side AB of \( \Delta ABC \) so that the two triangles are congruent ?
PR
PQ
QR
All of these
Correct answer
PR
In the following fig., OP is perpendicular to the chord AB. If AB = 8 cm, O is the centre of circle and OP = 3 cm, find the radius of the circle.
4 cm
11 cm
5.5 cm
5 cm
Correct answer
4 cm
If BD is tangent to the circle centred at 'C', then \( \angle CAD = \)
60°
90°
120°
45°
Correct answer
60°