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HSC Science (Computer Science) इयत्ता ११ वी - Maharashtra State Board Question Bank Solutions for Mathematics and Statistics

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Mathematics and Statistics
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Answer the following question:

Find the equation of the line passing through the points S(2, 1) and T(2, 3)

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the equation of the line which contains the point A(3, 5) and makes equal intercepts on the co-ordinates axes.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

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Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the sides.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6). Find equations of the medians.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of Perpendicular bisectors of sides

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

The vertices of a triangle are A(1, 4), B(2, 3) and C(1, 6) Find equations of altitudes of ∆ABC

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the equation of the line through A(−2, 3) and perpendicular to the line through S(1, 2) and T(2, 5)

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the X−intercept of the line whose slope is 3 and which makes intercept 4 on the Y−axis

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Two lines passing through M(2, 3) intersect each other at an angle of 45°. If slope of one line is 2, find the equation of the other line.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the Y-intercept of the line whose slope is 4 and which has X intercept 5

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the equations of the diagonals of the rectangle whose sides are contained in the lines x = 8, x = 10, y = 11 and y = 12

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

A(1, 4), B(2, 3) and C(1, 6) are vertices of ∆ABC. Find the equation of the altitude through B and hence find the co-ordinates of the point where this altitude cuts the side AC of ∆ABC.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

The vertices of ∆PQR are P(2, 1), Q(−2, 3) and R(4, 5). Find the equation of the median through R.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

A line perpendicular to segment joining A(1, 0) and B(2, 3) divides it internally in the ratio 1 : 2. Find the equation of the line.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Find the co-ordinates of the foot of the perpendicular drawn from the point P(−1, 3) the line 3x − 4y − 16 = 0

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

The perpendicular from the origin to a line meets it at (−2, 9). Find the equation of the line.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

P(a, b) is the mid point of a line segment between axes. Show that the equation of the line is `x/"a" + y/"b"` = 2

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Show that there are two lines which pass through A(3, 4) and the sum of whose intercepts is zero.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Answer the following question:

Show that there is only one line which passes through B(5, 5) and the sum of whose intercept is zero.

[1.5] Straight Line
Chapter: [1.5] Straight Line
Concept: undefined >> undefined

Write the parametric equations of the circle: 

x2 + y2 = 9

[1.6] Circle
Chapter: [1.6] Circle
Concept: undefined >> undefined
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