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Summative Assessment I
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Q30 of 34 Page 252

On a graph paper plot the following points:

A(3, 3), B(2, 4), C(5, 5), D(0, 2), E(3, -3) and F(-5, -5).


Which of these points are the mirror images in (i) x-axis (ii) y-axis?

It is clear from the graph A and E are mirror image wrt. x-axis and there is no mirror image points wrt. y-axis.


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28

If r and s be the remainders when the polynomials (x3 + 2x2 - 5ax - 7) and (x3 + ax2 - 12x + 6) are divided by (x + 1) and (x - 2) respectively and 2r + s = 6 find the value of a.

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Prove that: (a + b)3 + (b + c)3 + (c + a)3 - 3(a + b)(b + c)(c + a) = 2(a3 + b3 + c3 - 3abc)

31

In the given figure, in a ΔABC, BE ⊥ AC, ∠EBC = 40° and ∠DAC = 30. ∠DAC = 30°. Find the values of x, y and z.

32

In the given figure, ABC is a triangle in which AB = AC. D is a point in the interior of ΔABC such that ∠DBC = ∠DCB. Prove that AD bisects ∠BAC.

Questions · 34
Summative Assessment I
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