Short Quiz

Question 1 of 5

NCERT Exemplar

If the points \(\mathrm{A}(1,2), \mathrm{O}(0,0)\) and \(\mathrm{C}(\mathrm{a}, \mathrm{b})\) are collinear, then

A \(a=b\) B \(a=2 b\) C \(2 a=b\) D \(a=-b\)

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Question 2 of 5

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The area of a triangle with vertices \(A(3,0), B(7,0)\) and \(C(8,4)\) is

A 14 B 28 C 8 D 6

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Question 3 of 5

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If \(P=\left(\frac{a}{3}, 4\right)\) is the mid-point of the line segment joining the points \(Q(-6,5)\) and \(R(-2,3)\), then the value of \(a\) is

A -4 B -12 C 12 D -6

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Question 4 of 5

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The mid-point of the line segment joining the points \(\mathrm{A}(-2,8)\) and \(B(-6,-4)\) is

A \((-4,-6)\) B \((2,6)\) C \((-4,2)\) D \((4,2)\)

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Question 5 of 5

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AOBC is a rectangle whose three vertices are vertices \(\mathrm{A}(0,3), \mathrm{O} (0,0)\) and \(B(5,0)\). The length of its diagonal is

A 5 B 3 C \(\sqrt{34}\) D 4

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Class 6