Download App

Circles — Maths STD 10 — Question

CBSE BoardEnglish MediumSTD 10MathsCircles1 Mark
Question
Write ‘True’ or ‘False’ and justify your answer.
The length of tangent from an external point P on a circle with centre O is always less than OP.
✓

Answer

True.
PT and OT are the tangent and radius respectively at contact point T. So, $\angle\text{OTP}=90^\circ$ $\Rightarrow\ \triangle\text{OPT}$ is right angled triangle. Again, in $\triangle\text{OPT}$ $\because\ \angle\text{T}>\angle\text{O}$ $\therefore\ \text{OP}>\text{PT}$ [Side opposite to greater angle is larger] Hence, the given statement is true.

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "True False[1 Marks ]" from Circles→Circles — all question types→Maths STD 10 question papers→CBSE Board STD 10 question papers→CBSE Board question paper generator→

Similar questions

Write the truth value (T/F) of the following statements:
Any two similar figures are congruent.
→
Write ‘True’ or ‘False’ and justify your answer.
The value of the expression (sin80º - cos80º) is negative.
→
Write 'True' or 'False' and justify your answer in the following:
The value of $\sin\theta$ is $\text{x}+\frac{1}{\text{x}},$ where 'x' is a positive real number.
→
The sum of two irrational number is an irrational number (True/ False).
→
Are the following statements 'True' or 'False'? Justify your answers.
If the graph of a polynomial intersects the x-axis at only one point, it cannot be a quadratic polynomial.
→
The sum of two prime numbers is always a prime number.
→
Areas of two circles are equal. Is it necessary that their circumferences are equal? Why?
→
State whether the following statements are true or false. Justify your answer.
Points A(-6, 10), B(-4, 6) and C(3, -8) are collinear such that
$\text{AB}=\frac{2}{9}=\text{AC}.$
→
Write ‘True’ or ‘False’ and justify your answer.
The value of the expression (sin80º - cos80º) is negative.
→
State whether the following statements are true or false. Justify your answer.
Points A(-6, 10), B(-4, 6) and C(3, -8) are collinear such that
$\text{AB}=\frac{2}{9}=\text{AC}.$
→