1
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
For different values of m, the equation 4y=mx-m+ 2 represents
1
 parallel lines
2
concurrent lines
3
 lines at a fixed distance from the origin of coordinates
4
 the same line
2
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
The equation of the locus of a point equidistant from the points (a, b) and (c, d) is (a - c)  x + (b - d)  y + k = 0 What is the value of k?
1
$a^2 - c^2 + b^2 - d^2$
2
$c^2 + d^2 - a^2 - b^2$
3
$(a^2 - c^2 + b^2 - d^2) / 2$
4
$(c^2 + d^2 - a^2 - b^2) / 2$
3
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
What is the sum of the intercepts of the line
$\frac{x}{a^{2}}+\frac{y}{b^{2}}=\frac{2}{a^{2}+b^{2}} $
 on the coordinate axes?
1
2
2
1
3
1/2
4
$a ^ 2 + b ^ 2$
4
NDA Mathematics 14th September 2025
MCQ (Single Correct Answer)
+2.5
-0.833
Change Language
Which one of the following is the perpendicular form of the straight line $\sqrt{3}x+2y=7$ ?
1
$y=-\frac{\sqrt{3}}{2}x+\frac{7}{2}$
2
$\frac{x}{(\frac{7}{\sqrt{3}})}+\frac{y}{(\frac{7}{2})}=1$
3
$\frac{\sqrt{3}}{\sqrt{7}}x+\frac{2}{\sqrt{7}}y=\sqrt{7}$
4
$\frac{\sqrt{3}}{\sqrt{7}}x+\frac{2}{\sqrt{7}}y=7$