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Numerical Aptitude (Chapter: Rectangular Co-ordinates)

:: Home Assignment for Practice ::

1. The value of k such that 3x² – 11xy + 10y² – 7x + 13y + k = 0 may represent a pair of straight lines is:

(a) 3
(b) 4
(c) 6
(d) 8

2. The straight lines 5x + 4y = 0, x + 2y – 10 = 0 and 2x + y + 5 = 0 are:

(a) concurrent
(b) the sides of an equilateral triangle
(c) the sides of a right-angled triangle
(d) none of above

3. If t₁,t₂ and t₃ are distinct, the points and

(a) t₁t₂t₃ = 1
(b) t₁+t₂+t₃ = t₁t₂t₃
(c) t₁+t₂+t₃ = 0
(d) t₁+t₂+t₃ = 1
 

4. If two varitices of a triangle are (5, –1) and (–2, 3) and if its orthocentre lies at the origin, then the co-ordinates of third vertex are:

(a) (4, 7)
(b) (–4, –7)
(c) 2, –3)
(d) (5, –1)

5. If x² – 2pxy – y² = 0, x² – 2qxy – y² = 0 are

(a) p = l + 1
(b) pq = –1
(c) p + q = –1
(d) none of these

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