Q69.If the x-intercept of a focal chord of the parabola y2 = 8x + 4y + 4 is 3 , then the length of this chord is equal to _____ .
What This Question Tests
This problem involves converting the given parabola equation into standard form, finding its focus, and then using the x-intercept of the focal chord to determine the chord's endpoints or angle to calculate its length.
Concepts Tested
Formulas Used
(y-k)^2 = 4a(x-h)
Length of focal chord = 4a cosec^2 ฮธ
๐ NCERT Sections This Tests
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8.2 โ Name The Following Compounds According To Iupac System Of Nomenclature:
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8.2 Name the following compounds according to IUPAC system of nomenclature: (i) CH3CH(CH3)CH2CH2CHO (ii) CH3CH2COCH(C2H5)CH2CH2Cl (iii) CH3CH=CHCHO (iv) CH3COCH2COCH3 (v) CH3CH(CH3)CH2C(CH3)2COCH3 (vi) (CH3)3CCH2COOH (vii) OHCC6H4CHO-p
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๐ Question Details
- Chapter
- Parabola
- Topic
- Focal chord of parabola
- Year
- 2023
- Shift
- 01 Feb Shift 2
- Q Number
- Q69
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 11: Conic Sections
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