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#1 2009-01-28 00:54:28

ganesh
Moderator
Registered: 2005-06-28
Posts: 15,147

Question Bank Age Group 14-15 : I

1. Construct a 2x2 matrix

whose elemtns are given by
.

2. In ΔPQR, ST||QR and

.
If PR = 6 cm, find PT.

3. If the bisector of an angle of a triangle bisects the opposite side, prove that the triangle is isosceles.

4. Prove that

.

5. Find the area of the quadrilateral whose vertices are (3,4), (-1,6), (-3,-4), and (6,1).

6. P, Q, R have coordinates (-2,1), (2,2), and (6,-2). Find
(i) the Gradient of the line perpendicular to QR.
(ii) the Gradient of the line parallel to PQ.

7. A (2,-4), B (3,3), and C (-1,5) are the vertices of a triangle ABC. Find the equation of the median of the traingle through A.

8. If m is the slope of a line parallel to 3x + 4y + 7 = 0, find the value of 16m².

9. Show that

if
.

10. If A = 30°, verify

.


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