NDA 2016 Paper 2 | Coordinate System and Straight Line Question 12 | Mathematics

A straight line cuts off an intercept of 2 units on the positive direction of X-axis and passes through the point ($$-$$3, 5). What is the foot of the perpendicular drawn from the point (3, 3) on this line?

(1, 3)

(2, 0)

(0, 2)

(1, 1)

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Consider a parallelogram whose vertices are A(1, 2), B(4, y), C(x, 6) and D(3, 5) taken in order.

What is the value of AC² $$-$$ BD² ?

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Consider a parallelogram whose vertices are A(1, 2), B(4, y), C(x, 6) and D(3, 5) taken in order.

What is the point of intersection of the diagonals ?

$$\left( {{7 \over 2},4} \right)$$

(3, 4)

$$\left( {{7 \over 2},5} \right)$$

(3, 5)

NDA 2016 Paper 1

MCQ (Single Correct Answer)

+2.5

-0.83

Consider a parallelogram whose vertices are A(1, 2), B(4, y), C(x, 6) and D(3, 5) taken in order.

What is the area of the parallelogram?

$${7 \over 2}$$ sq. units

4 sq. units

$${11 \over 2}$$ sq. units.

7 sq. units

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