Straight Line and Pair of Straight Lines Test

Result

Straight Line and Pair of Straight Lines Test - 63

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Weekly Quiz Competition

Question 1
4 / -1

A line 2x + 3y – 1 = 0 intersects the three sides BC, CA, and AB of the triangle ABC in P, Q, R respectively. Then

A

B

C

D

Solution
Question 2
4 / -1

If m₁, m₂ are the roots of the equation x² – ax – a – 1 = 0, then the area of the triangle formed by the three st. lines y = m₁x, y=m₂x and y = a(a ≠ –1) is

A

B

C

D
none of these

Solution
Question 3
4 / -1

If the area of the triangle whose vertices are (b, c), (c, a) and (a , b) is ∆, then the area of the triangle whose vertices are (ac – b², ab – c²), (ba – c², bc – a²), and (cb – a², ca – b²) is

A
(a + b + c)∆

B
(a + b + c)²∆

C
2(a + b + c)∆

D
none of these

Solution
Question 4
4 / -1

Two vertices of a triangle are (5, –1) and (–2, 3). If the orthocentre of the triangle is at (0, 0), then the third vertex is

A
(4, 7)

B
(7, 4)

C
(–4, –7)

D
(–7, –4)

Solution
Question 5
4 / -1

If (x₁, y₁), (x₂, y₂) and (x₃, y₃) are the co–ordinates of the circumcentre, the centroid and the orthocentre of a triangle, then

A
3x₁ = 2x₂ +x₁; 3y₁ = 2y ₂ + y₃

B
3x₂ = 2x₁ + x₃; 3y₂ = 2y ₁ + y₃

C
3x₃ = 2₁ + x₂; 3y₃ = 2y₁ + y₂

D
x₁ = x₂ = x₃; y₁ = y₂ = y₃

Solution
Question 6
4 / -1

A

B

C

D

Solution
Question 7
4 / -1

A

B

C

D

Solution
Question 8
4 / -1

A

B

C

D
Question 9
4 / -1

A

B

C

D
None of these

Solution
Question 10
4 / -1

A

B

C

D