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If log (sin C) comes out as negative or zero, find the corresponding acute angle C. Then, find A = 180 o - (B + C) and finally get 'a' by using the law of sines (this completes the solution of ..

Question: Answer: Given: AC=BC To prove: Proof: In triangles DBC and EAC, BC=AC (given..

Question: Write down the following statements using set notation. (i) x is an element of set A (ii) y is not an element of set (iii) A is a subset of B (iv) A is a proper subset of B (v) A contains B (vi) A is superset of B (vii) Neither A is a subset of B, nor B is a subset of A. Answer: ..

Question: Find the equation of the line which joins the points (a,b) to the Answer: The two given equation are The equation of the line through the intersection of (i) and (ii) is (bx + ay - ab) + l (ax + by - ab) = 0. This line passes through (a,b)..

Question: Find the equation of the line which joins the points (a,b) to the Answer: The two given equation are The equation of the line through the intersection of (i) and (ii) is (bx + ay - ab) + l (ax + by - ab) = 0. This line passes through (a,b)..

Question: In the figure, ABC and DBC are two triangles on the same base BC. If AD intersects BC at O, then prove that [3 Mark] Answer: Construction: Draw AE BC and DF BC Proof: ..

General solution of tan q = ..

The area of a triangle is half that of a parallelogram standing on the same base and between the same parallels. and a parallelogram ABCD are standing on the same base AB and between the same parallels AB, DC. Complete the parallelogram ABP..

Question: In the given figure, P(3,1) is a point on the line segment AB such that AP:PB = 2:3. Find the co-ordinates of A and B. [3 Mark] Answer: Since A is a point on x-axis, let the co-ordinates of A be (x,0). Since B is a point on y-axis, let the co..

In a triangle, the three altitudes pass through the same point..