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6. Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle.
27
Oct
6. Without using the Pythagoras theorem, show that the points (4, 4), (3, 5) and (–1, –1) are the vertices of a right angled triangle. –1) are the vertices of a right angled triangle. 3% 4 5) and (–1 6. Without using the Pythagoras theorem show that the points (4 October 27, 2021 Category: Chapter [...]
5. Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, – 4) and B (8, 0).
27
Oct
5. Find the slope of a line, which passes through the origin, and the mid-point of the line segment joining the points P (0, – 4) and B (8, 0). – 4) and B (8 0 ) 5. Find the slope of a line and the mid-point of the line segment joining the points P [...]
4. Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4).
27
Oct
4. Find a point on the x-axis, which is equidistant from the points (7, 6) and (3, 4). 4 4. Find a point on the x-axis 6) and (3 which is equidistant from the points (7 October 27, 2021 Category: Chapter 10 - Straight Lines , Maths , NCERT Exemplar Class 11 ,
3. Find the distance between P (x1 , y1 ) and Q (x2 , y2 ) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis.
27
Oct
3. Find the distance between P (x1 , y1 ) and Q (x2 , y2 ) when : (i) PQ is parallel to the y-axis, (ii) PQ is parallel to the x-axis. (ii) PQ is parallel to the x-axis. 3. Find the distance between P (x1 y1 ) and Q (x2 y2 ) when : [...]
2. The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle.
27
Oct
2. The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. Find vertices of the triangle. 2. The base of an equilateral triangle with side 2a lies along the y-axis such that the mid-point of the base is at the origin. [...]
1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area.
27
Oct
1. Draw a quadrilateral in the Cartesian plane, whose vertices are (– 4, 5), (0, 7), (5, – 5) and (– 4, –2). Also, find its area. – 5) and (– 4 –2). Also 0 ) 1. Draw a quadrilateral in the Cartesian plane 5 7) find its area. whose vertices are (– 4 October [...]
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1. Draw a quadrilateral in the Cartesian plane ,
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Example 25 Show that the path of a moving point such that its distances from two lines 3x – 2y = 5 and 3x + 2y = 5 are equal is a straight line.
27
Oct
Example 25 Show that the path of a moving point such that its distances from two lines 3x – 2y = 5 and 3x + 2y = 5 are equal is a straight line. Example 25 Show that the path of a moving point such that its distances from two lines 3x – 2y = [...]
Example 24 A line is such that its segment between the lines 5x – y + 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5). Obtain its equation.
27
Oct
Example 24 A line is such that its segment between the lines 5x – y + 4 = 0 and 3x + 4y – 4 = 0 is bisected at the point (1, 5). Obtain its equation. 5). Obtain its equation. Example 24 A line is such that its segment between the lines 5x – [...]
Example 22 Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x – 3y + 4 = 0 .
27
Oct
Example 22 Assuming that straight lines work as the plane mirror for a point, find the image of the point (1, 2) in the line x – 3y + 4 = 0 . 2) in the line x - 3y + 4 = 0 . Example 22 Assuming that straight lines work as the plane [...]
Example 21 Find the distance of the line 4x – y = 0 from the point P (4, 1) measured along the line making an angle of 135° with the positive x-axis.
27
Oct
Example 21 Find the distance of the line 4x – y = 0 from the point P (4, 1) measured along the line making an angle of 135° with the positive x-axis. 1) measured along the line making an angle of 135° with the positive x-axis. Example 21 Find the distance of the line 4x [...]