Sunday, October 25, 2015

Understanding Coordinate Geometry through Question Solving Part Three Video

Dear friends in this video I have tried to revise all important concepts and told about some more of them which I have not explained through my theory Videos. This I have done by means of question solving. I have solved the below 16 questions. Kindly go through this video properly as you will find many things in this video which I have not told before. Happy studies....

Ques 1. A line L passes through the point (2,4) and (3,-2). The line L is rotated by 90 degrees in the clockwise direction about the point where the line cuts the X axis. What is the equation of the new line L ?

Ques 2. What is the perpendicular/shortest distance between two parallel line (3x + 4y + 3 = 0) and (3x + 4y + 12 = 0) ?

Ques 3. Find the condition under which the straight lines (x + 2y - 9 = 0), (3x + 5y - 5 = 0) and (ax + by - 1 = 0) are concurrent.

1. 35a + 22b = 1
2. 35a - 22b = -1
3. 35a + 22b = 0
4. 22a + 35b = -1
5. None of these


Ques 4. Find the minimum possible distance between a point on the circle ((x-1)2 + y2 = 9) and the line 8x + 6y - 48 = 0

Ques 5. A circle with center (2,0) and radius 2 units is drawn which touches the Y axis at the origin O and cuts the X axis at point P. For how many distinct rectangles can be drawn such that PO is the diagonal and all the vertices of the rectangle lie on the circle and have integer coordinates.

Ques 6. P is a region containing points (x,y) such that the distance of all the points in that region from the origin is less than 6. Find the number of points having integral coordinates in the region P.

Ques 7. A circle having radius 5 is centred at (0,5) and another circle having radius 12 is centred at (12,0). Which of the following represents the equation of their common chord ?

1. 5x - 12y = 13
2. 12x + 5y = 13
3. 5y - 12x = 6
4. 5y + 12x = 0
5. 5y - 12x = 0

Ques 8. Find the area of the quadrilateral the coordinates of whose angular points taken in order are (-1,6), (-3,-9), (5,-8) and (3,9).

Ques 9. What will be the equation of the straight line that passes through the intersection of straight lines (2x - 3y + 4 = 0) and (3x + 4y - 5 = 0) and is perpendicular to the straight line (3x - 4y = 5) ??

Ques 10. Four vertices of a parallelogram taken in order are (-3,-1), (a,b), (3,3) and (4,3). What will be the ratio of a:b ??

Ques 11. A line passing through the point (a,2a) and (-2,3) is perpendicular to the line (4x + 3y + 5 = 0). Find the value of a ??

Ques 12. If the points (a,0), (0,b) and (1,1) are collinear then which of the following is true ?

1. 1/a + 1/b = 2
2. 1/a - 1/b = 1
3. 1/a - 1/b = 2
4. 1/a + 1/b = 1

Ques 13. Two sides of a square lie on the lines (x + y = 1) and (x + y + 2 = 0). What is its area ??

Ques 14. What will be the area of the rhombus formed by the four lines (ax plus minus by plus minus c = 0). What is the area of this rhombus ??

Ques 15. The extremities of the diagonal of a parallelogram are the points (3,-4) and (-6,5). If the third vertex is the point (-2,1), the coordinate of the fourth vertex will be

Ques 16. Three vertices of a rhombus taken in order are (2,-1), (3,4) and (-2,3). Find the fourth vertex ??

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