SATHEE: Parabola 3 Question 3

Parabola 3 Question 3

3. Match the conditions/expressions in Column I with statement in Column II. Normals at $P, Q, R$ are drawn to $y^{2} = 4 x$ which intersect at $(3, 0)$ . Then,

Column I	Column II
A. Area of $△ P Q R$	p. 2
B. Radius of circumcircle of $△ P Q R$	q. $\frac{5}{2}$
C. Centroid of $△ P Q R$	r. $\frac{5}{2}, 0$
D. Circumcentre of $△ P Q R$	s. $\frac{2}{3}, 0$

Objective Questions II

(One or more than one correct option)

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Answer:

Correct Answer: 3. $A \to p; B \to q; C \to s; D \to r$

Solution:

Equation of chord with mid-point $(h, k)$ .

$\begin{aligned} T & = S_{1} \\ y k - 8 x - 8 h & = k^{2} - 16 h \\ 2 x - \frac{y k}{4} & = 2 h - \frac{k^{2}}{4} \\ ∵ 2 x + y & = p \\ ∴ & k & = - 4 and p = 2 h - 4 \\ where h & = 3 \\ p & = 2 \times 3 - 4 = 2 \end{aligned}$

Parabola 3 Question 3

3. Match the conditions/expressions in Column I with statement in Column II. Normals at $P, Q, R$ are drawn to $y^{2} = 4 x$ which intersect at $(3, 0)$ . Then,

Objective Questions II

Answer:

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Parabola 3 Question 3

3. Match the conditions/expressions in Column I with statement in Column II. Normals at P,Q,R are drawn to y2=4x which intersect at (3,0). Then,

Objective Questions II

Answer:

Engineering Preparation

Medical Preparation

NCERT Books & Solutions

Important Resources

Other Resources

Syllabus

Test Platform

Sample Mock Test

Mentorship

NCERT Exercise Video Solution

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3. Match the conditions/expressions in Column I with statement in Column II. Normals at $P, Q, R$ are drawn to $y^{2} = 4 x$ which intersect at $(3, 0)$ . Then,