Find the equations of the tangents of the circle , which: (i) are parallel to the line (ii) are perpendicular to the line (iii) make an angle of with the X-axis

(i) (ii) (iii) Explanation: Solution The given circle is . Comparing this with , we get the radius . The condition for a line to be a tangent to the circle is: (i) Parallel to The slope ( ) of the line is . Since the tangent is parallel, its slope is also . The equation of the tangent is Multiplying by 4: (ii) Perpendicular to The slope of the given line is . For a perpendicular line, the slope . The equation of the tangent is Multiplying by 2: (iii) Angle of with X-axis The slope . The equation of the tangent is Correct Option: (a)

How do I solve IGDTUW 2025 Mathematics questions?

Practice IGDTUW 2025 Mathematics previous year questions with step-by-step solutions on Mathem Solvex. Each question includes a detailed explanation and video solution to help you master the concept quickly.

What is the difficulty level of IGDTUW Mathematics questions?

IGDTUW Mathematics questions range from moderate to advanced difficulty. Consistent practice with official previous year papers and topic-wise drills on Mathem Solvex is the most effective preparation strategy.

Are IGDTUW previous year papers available for free?

Yes. Mathem Solvex provides free access to IGDTUW previous year question papers and topic-wise PDFs. You can download them or attempt them as timed live mock tests directly on the platform.

IGDTUW 2025 — Mathematics PYQ

IGDTUW | Mathematics | 2025

Find the equations of the tangents of the circle $x^2 + y^2 = 9$ , which:

(i) are parallel to the line $3x + 4y - 5 = 0$

(ii) are perpendicular to the line $2x + 3y + 7 = 0$

(iii) make an angle of $60^\circ$ with the X-axis

IGDTUW 2025 — Mathematics PYQ

Choose the correct answer:

Explanation

Solution

(i) Parallel to $3x + 4y - 5 = 0$

(ii) Perpendicular to $2x + 3y + 7 = 0$

(iii) Angle of $60^\circ$ with X-axis

Explanation

Solution

(i) Parallel to $3x + 4y - 5 = 0$

(ii) Perpendicular to $2x + 3y + 7 = 0$

(iii) Angle of $60^\circ$ with X-axis