Questions

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3 questions · timed · auto-graded

Question 14 Marks
The value of $\lambda$, if the lines $(2 x+3 y+4)+\lambda(6 x-y$ $+12)=0$ are
Column-IColumn-II
(a) Parallel to y-axis is(i) $\lambda=-\frac{3}{4}$
(b) Perpendicular to 7x + y -4 = 0 is(ii) $\lambda=-\frac{1}{3}$
(c) Passes through (1, 2) is(iii) $\lambda=-\frac{17}{41}$
(d) Parallel to x-axis is(iv) $\lambda=3$
Answer
(a) → (iv), (b) → (iii), (c) → (i), (d) → (ii).
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Question 24 Marks
Column-IColumn-II
(a) Equation of X-axis(i) y = 0
(b) Equation of Y-axis(ii) x = y
(c) Equation of line having equal intercepts(iii) x = 0
(d) Equation of line passing through origin(iv) x + y = a
Answer
(a) → (i), (b) → (iii), (c) → (iv), (d) → (ii).
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Question 34 Marks
Image

A quadrilateral has vertices at the points A( 7 , 3), B(3, 0) C( 0 , -4) and D(4, - 1) If P, Q, R and S are the mid-points of AB, BC, CD and DA respectively, as shown in figure, then match the following columns: 
Column-IColumn-II
(a) Co-ordinates of point P(i) 1
(b) Slope of PQ(ii) -1
(c) Co-ordinates of point R(iii) $\left(5, \frac{3}{2}\right)$
(d) Slope of QR(iv) $\left(2, \frac{-5}{2}\right)$
Answer
(a) → (iii), (b) → (i), (c) → (iv), (d) → (ii).
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Match the following. - Applied Maths STD 11 Science Questions - Vidyadip