Class XI Maths Straight Lines 7

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Question 1

If a line intercepted between the coordinate axes is trisected at a point A (4, 3), which in nearer to x-axis, then its equation is:

• A4x ‒ 3y = 7
• B3x + 3y = 18
• C3x + 2y = 16
• Dx + 3y = 13

Question 2

The line segment joining the points (1, 2) and (–2, 1) is divided by the line 3x + 4y = 7 in the ratio -

• A3 : 4
• B4 : 3
• C9 : 4
• D4 : 9

Question 3

The minimum distance of a line which is tangent to the circle whose center is at (0,3) and is of radius 2 at points (2,3) from the point (4,6) is D. Find D?

• A2
• B5
• C
• D

Question 4

Find the distance between line (x-6)/7=(y-4)/9 and (1,3).

• A
• B
• C
• D

Question 5

If the distance of 2 lines given below from each other is af then value of v=______
L1: ay=bx+c
L2: fy+dx+v=0
And the value of ()=5, )=10

• Av=2c-10af
• Bv=2f-10af
• Cv=2d-10af
• Dv=2a-10af

Question 6

The distance, from the origin, of the normal to the curve,
at, is:

• A4
• B
• C2
• D

Question 7

The coordinates of a point on x + y + 3 = 0, whose distance from x + 2y + 2 = 0 isis equal to -

• A(9, 6)
• B(–9, 6)
• C(–9, –6)
• DNone of these

Question 8

Given four lines whose equations are x + 2y – 3 = 0, 2x + 3y – 4 = 0, 3x + 4y – 7 = 0 and 4x + 5y – 6 = 0 then

• Athey are all concurrent
• Bthey are sides of a quadrilateral
• CThey are sides of trapezium
• Dnone of these

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