Maths
3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively.
30
Oct
3. Find the equations of the lines, which cut-off intercepts on the axes whose sum and product are 1 and – 6, respectively. 3. Find the equations of the lines respectively which cut-off intercepts on the axes whose sum and product are 1 and – 6 October 30, 2021 Category: Chapter 10 - Straight Lines [...]
2. Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form of the line sqrt 3 x + y + 2 = 0.
30
Oct
2. Find the values of θ and p, if the equation x cos θ + y sinθ = p is the normal form of the line sqrt 3 x + y + 2 = 0. 2. Find the values of θ and p if the equation x cos θ + y sinθ = p is [...]
1. Find the values of k for which the line (k–3) x – (4 – k^2 ) y + k^2 –7k + 6 = 0 is
30
Oct
1. Find the values of k for which the line (k–3) x – (4 – k^2 ) y + k^2 –7k + 6 = 0 is 1. Find the values of k for which the line (k–3) x – (4 – k^2 ) y + k^2 –7k + 6 = 0 is October 30, 2021 [...]
18. If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that 1/p^2 = 1/a^2 + 1/b^2
30
Oct
18. If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b, then show that 1/p^2 = 1/a^2 + 1/b^2 18. If p is the length of perpendicular from the origin to the line whose intercepts on the axes are a and b then [...]
17. In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A.
30
Oct
17. In the triangle ABC with vertices A (2, 3), B (4, –1) and C (1, 2), find the equation and length of altitude from the vertex A. –1) and C (1 17. In the triangle ABC with vertices A (2 2 3% b = 4 find the equation and length of altitude from the [...]
16. If p and q are the lengths of perpendiculars from the origin to the lines x cosθ – ysin θ = k cos2θ and x sec θ + y cosec θ = k, respectively, prove that p^2 + 4q^2 = k^2 .
30
Oct
16. If p and q are the lengths of perpendiculars from the origin to the lines x cosθ – ysin θ = k cos2θ and x sec θ + y cosec θ = k, respectively, prove that p^2 + 4q^2 = k^2 . 16. If p and q are the lengths of perpendiculars from the [...]
15. The perpendicular from the origin to the line y = mx + c meets it at the point (–1, 2). Find the values of m and c.
30
Oct
15. The perpendicular from the origin to the line y = mx + c meets it at the point (–1, 2). Find the values of m and c. 15. The perpendicular from the origin to the line y = mx + c meets it at the point (–1 2). Find the values of m and [...]
14. Find the coordinates of the foot of perpendicular from the point (–1, 3) to the line 3x – 4y – 16 = 0.
30
Oct
14. Find the coordinates of the foot of perpendicular from the point (–1, 3) to the line 3x – 4y – 16 = 0. 14. Find the coordinates of the foot of perpendicular from the point (–1 3) to the line 3x – 4y – 16 = 0. October 30, 2021 Category: Chapter 10 - [...]
13. Find the equation of the right bisector of the line segment joining the points (3, 4) and (–1, 2).
30
Oct
13. Find the equation of the right bisector of the line segment joining the points (3, 4) and (–1, 2). 13. Find the equation of the right bisector of the line segment joining the points (3 2 4) and (–1 October 30, 2021 Category: Chapter 10 - Straight Lines , Maths , NCERT Exemplar Class [...]
11. Prove that the line through the point (x1 , y1 ) and parallel to the line Ax + By + C = 0 is A (x –x1 ) + B (y – y1 ) = 0.
30
Oct
11. Prove that the line through the point (x1 , y1 ) and parallel to the line Ax + By + C = 0 is A (x –x1 ) + B (y – y1 ) = 0. 11. Prove that the line through the point (x1 y1 ) and parallel to the line Ax + [...]