HSC Arts इयत्ता ११ - Tamil Nadu Board of Secondary Education Question Bank Solutions

Choose the correct alternative:
The n^th term of the sequence 1, 2, 4, 7, 11, …… is

Choose the correct alternative:
The n^th term of the sequence `1/2, 3/4, 7/8, 15/16, ...` is

Show that the lines are 3x + 2y + 9 = 0 and 12x + 8y − 15 = 0 are parallel lines

Find the equation of the straight line parallel to 5x − 4y + 3 = 0 and having x-intercept 3

Find the distance between the line 4x + 3y + 4 = 0, and a point (−2, 4)

Find the distance between the line 4x + 3y + 4 = 0, and a point (7, −3)

Write the equation of the lines through the point (1, −1) parallel to x + 3y − 4 = 0

Write the equation of the lines through the point (1, −1) perpendicular to 3x + 4y = 6

If (−4, 7) is one vertex of a rhombus and if the equation of one diagonal is 5x − y + 7 = 0, then find the equation of another diagonal

Find the equation of the lines passing through the point of intersection lines 4x − y + 3 = 0 and 5x + 2y + 7 = 0, and through the point (−1, 2)

Find the equation of the lines passing through the point of intersection lines 4x − y + 3 = 0 and 5x + 2y + 7 = 0, and parallel to x − y + 5 = 0

Find the equation of the lines passing through the point of intersection lines 4x − y + 3 = 0 and 5x + 2y + 7 = 0, and perpendicular to x − 2y + 1 = 0

Find the equations of two straight lines which are parallel to the line 12x + 5y + 2 = 0 and at a unit distance from the point (1, −1)

Find the equations of straight lines which are perpendicular to the line 3x + 4y − 6 = 0 and are at a distance of 4 units from (2, 1)

Find the equation of a straight line parallel to 2x + 3y = 10 and which is such that the sum of its intercepts on the axes is 15

Find the length of the perpendicular and the co-ordinates of the foot of the perpendicular from (−10, −2) to the line x + y − 2 = 0

If p₁ and p₂ are the lengths of the perpendiculars from the origin to the straight lines x sec θ + y cosec θ = 2a and x cos θ – y sin θ = a cos 2θ, then prove that p₁² + p₂² = a² 

Find the distance between the parallel lines
12x + 5y = 7 and 12x + 5y + 7 = 0

Find the distance between the parallel lines
3x − 4y + 5 = 0 and 6x − 8y − 15 = 0

Find the family of straight lines perpendicular